HPC Ch.1 Rev. Vocabulary & Example EC (Period 3) by Phara Cherdsuriya https://padlet.com/pcherdsuriya/2oelfd9qxtq8 1) Put your name as title. 2) Pick a word from word list below and provide a definition. 3) Create an example. 4) Provide a POSITIVE feedback to a peer. en-us 2020-02-04 07:50:33 UTC 2025-02-02 17:50:08 UTC hello@padlet.com Word List pcherdsuriya https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/440115698 Hole, vertical asymptote, horizontal asymptote, zeros, y-intercept, domain, range, even function, odd function, composition function, inverse function, symmetry respect to origin, symmetry respect to y-axis, bounded above, bounded below, end behavior, vertical asymptote behavior, difference quotient, explicit equation, implicit equation, one-to-one function]]> 2020-02-04 07:54:27 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/440115698 Zeros garrett https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441123650 The zeros are your x intercept.  To find the zeros you set y=0 and then you solve for x.

]]> 2020-02-05 18:27:11 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441123650 Caitlyn https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441275988 Odd function- the odd function is a graph that is symmetric with respect to the origin. to check algebraicly, f(-x)= - f(x)
EX:
f(x) = -8/x
f(-x) = -8/-x
f(-x) = 8/x


]]> 2020-02-05 23:12:00 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441275988 Olivia https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441352849 even function - a function that has symmetry respect to the
 y-axis. It can be checked algebraically if f(-x) is the same as f(x). 

Examples:
f(x)= -x^2 + 6
f(-x)= -(-x)^2 +6
f(-x)= -x^2 + 6]]> 2020-02-06 03:42:08 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441352849 Ella Li https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441387234 End behavior-a function is the behavior of the graph of the function  f(x) as x approaches positive infinity or negative infinity.
Example show: 
as x approaches +∞, f(x) approaches  +∞.
as x approaches −∞, f(x) approaches  −∞.]]> 2020-02-06 07:11:08 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441387234 Kelly Yoon https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441413467 inverse function: An inverse function is the opposite of a function. You switch the x and y and solve for the y. 
example: f(x)=2x+1 —> f^-1(x)=x-1/2
feedback: if there is a given point such as (3,1) you just switch the x and y to find the inverse which will be (1,3)]]> 2020-02-06 08:46:01 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441413467 Jinny Shim https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441745711 The DOMAIN of a function is the set of all possible x-values or inputs that will make the function work, and output a real y value. 
For example, the domain of the graph below is all real numbers or (-oo, oo)


]]> 2020-02-06 18:21:24 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441745711 Andrew C https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441748299 Y-intercept - The point on the graph where the x=0. There can only be one for it to be a function. You can check it algebraically by checking what f(0) =

Examples:
f(0)= 2(0)^2 - 4(0) + 8 = 8
f(0)= 4(0) - 9 = -9]]> 2020-02-06 18:24:16 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441748299 Joseph Park https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441749250 Bounded Below - When a function has an absolute minimum and all other points of that function cannot go lower than that point.]]> 2020-02-06 18:25:30 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441749250 Mark moon https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441749408 Range - All the y values possible in a function.
Ex. The range of y=x is all real numbers.]]> 2020-02-06 18:25:44 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441749408 Ashley Kim https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441751405 End behavior: The end behavior of the polynomial function is the behavior of the given graph of f (x) as x approaches positive or negative infinity. The coefficient and the degree determines the end behavior of the graph. For example: We would look at the right of the x-axis and as x approaches positive infinity. To the left of the x-axis as x approaches negative infinity. ]]> 2020-02-06 18:28:07 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441751405 Feedback - joseph park https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441752805 Your response was clear cut and helps give an understanding what bounded below means.
-mark m.]]> 2020-02-06 18:29:53 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441752805 Josh Han https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441754207 Bounded above - when the function has an absolute maximum and no other points go above it. This means the function can only go down from there. 

]]> 2020-02-06 18:31:45 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441754207 Jacob Lee https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441754488 Symmetry respect to y-axis- a function that can be folded across the y-axis so the two halves match]]> 2020-02-06 18:32:05 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441754488 Feedback - Mark Moon https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441754632 Gives a clear understanding of how the range in a function are all the y values possible in a function.
- Joseph Park]]> 2020-02-06 18:32:17 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441754632 Feedback- Kelly Yoon https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441755633 That was a good example that gave me an understanding on inverse functions.
- Jinny Shim]]> 2020-02-06 18:33:31 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441755633 Jason Yoon https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441757862 Symmetry Respect to Origin
When a graph is symmetric to both x and y axis. The graph looks the same right side up and upside down.

]]> 2020-02-06 18:36:01 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441757862 Feedback-Josh Han https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441759478 Your definition on bounded above gave me a better understanding on how a graph can be restricted below a point.
-Jason Yoon]]> 2020-02-06 18:38:00 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441759478 Feedback on garrets post https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441759890 Your response was easy to understand and provided a good example about setting y=0. I know now that zeros hit the x-axis - By Josh Han ]]> 2020-02-06 18:38:30 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441759890 Feedback - Jinny Shim https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441763959 Your definition was easy to understand and gave a clear explanation of what domain is. The example also did a good job of building onto the concept. -Paris Luna]]> 2020-02-06 18:43:16 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441763959 Feedback- Jacob Lee https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441764664 Nice example, graph is clear and able to understand
-Caitlyn Chou]]> 2020-02-06 18:44:07 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441764664 Paris Luna https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441774609 Hole - A hole is a removable discontinuity or removable singularity.
If the same factor is in the numerator and denominator in the lowest terms possible, there is a hole.


]]> 2020-02-06 18:56:39 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441774609 Lynette Jeong https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441776859 A hole occurs when the denominator is zero but has a common factor for denominator and numerator.]]> 2020-02-06 18:59:37 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441776859 feedback-paris luna https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441879401 Your example is very easy to follow and it helped me better understand how to find where the hole is at.  -Garrett Brookman

]]> 2020-02-06 22:03:18 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/441879401 Feedback on Caitlyn's Post https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/442008254 Good definition, and thanks for adding the equation to test it. By the way, it is spelled algebraically. :D
By Lynette Jeong]]> 2020-02-07 06:53:46 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/442008254 Feedback for Jason Yoon https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/442017657 Good explanation on symmetry respect to the origin. It was easy to understand and the graph you drew does a good job at showing an example of your explanation.
                                                           -Jacob Lee]]> 2020-02-07 07:38:24 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/442017657 Brandon Kimes 400000267 https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/443208051  Inverse function- A function that is derived from a given function by interchanging the two variables. F(x) = y.

]]> 2020-02-10 17:59:45 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/443208051 Feedback - Joseph Park 400000267 https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/443213365 Great definition with a clear graph.

-Brandon Kimes]]> 2020-02-10 18:07:16 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/443213365 feedback for paris https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/443468977 Your definition was clear and easy to follow. I like that you gave an example and drew the graph! -Olivia Anaya  ]]> 2020-02-11 03:31:42 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/443468977 Elliot Chun https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444127219 Domain - The set of all points for any given function such that the function is defined.]]> 2020-02-12 02:40:29 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444127219 Feedback for Brandon Kimes https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444128886 Good concise answer, with a very good graphic 

Elliot Chun]]> 2020-02-12 02:46:05 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444128886 Liana Lee (Haiinn) https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444165130 Even Function
A function is even if it is symmetrical to the y-axis.
Can check it algebraically
by f(x)=f(-x)

For example:
f(x)=x2+2
f(-x)=(-x)2+2=x2+2
f(x)=f(-x)
it is a even function]]> 2020-02-12 05:25:43 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444165130 Timothy Cini https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444176775 Bounded Above:
The function has a range limit somewhere before positive infinity, stopping at a defined y coordinate, while the range also goes to negative infinity.]]> 2020-02-12 06:47:15 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444176775 Joanne Kim https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444177638 Hole:
occurs when denominator is zero, but has common factor for denominator and numerator

y=(2x+1)(x-2) /(x-2)

hole at x=2

]]> 2020-02-12 06:52:25 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444177638 feedback for Liana Lee https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444179698 good definition for even functions and clear example :)

-Joanne Kim]]> 2020-02-12 07:04:43 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444179698 feedback for ashley kim https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444195413 your description and example of end behavior helped me understand the concept better:) -kelly yoon ]]> 2020-02-12 08:07:19 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444195413 Sophia Hobby https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444300073 Bounded Below
A function that is bounded below creates a graph that continues infinitely above the vertex or some (imaginary) horizontal line.






]]> 2020-02-12 13:25:53 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444300073 Feedback to Joanne Kim https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444313205 You have a clear and concise definition that is to the point and an easy example that helped me understand the concept immediately.]]> 2020-02-12 13:46:52 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444313205 Hailey Moon https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444628039 Inverse Function - a function that if “f” is applied to an input of x it will give a result of y. An inverse function is reflected across the graph of y=x from the original function. ]]> 2020-02-12 20:03:35 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444628039 Feedback for Sophia Hobby https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444629269 Your clear and easy to understand definition of bounded below with the visual example helped me understand how it is applied to a graph. - Hailey Moon]]> 2020-02-12 20:05:32 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444629269 Hailey Moon https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444751410 Zeros
Points where the graph of a function cross the x-axis]]> 2020-02-13 01:07:25 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444751410 Jenna Anderson https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444801249 Vertical Asymptote Behavior:
The behavior of a function as it approaches the vertical asymptote, a vertical line that the graph will never cross.

Depending on if the graph is approaching the VA on the left or right side you need to specify by including a positive (for right) or negative (for left) sign in the VA behavior for x.

For the graph below the vertical asymptote behavior is:
lim x -> 1+ 
   f(x) -> + infinity ]]> 2020-02-13 03:53:14 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444801249 Feedback for Hailey Moon https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444803317 Your definition is clear and your graph provides an excellent and easily understandable visual. :)

-Jenna Anderson]]> 2020-02-13 04:01:21 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444803317 Jenna Anderson https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444803934 Horizontal Asymptote:
One or more horizontal lines that a graph approaches but never crosses. 


]]> 2020-02-13 04:04:02 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444803934 Feedback for Timothy Cini https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444804682 Very well drawn graph and accurate definition. :)

-Jenna Anderson ]]> 2020-02-13 04:06:53 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444804682 Jeongrok Bae https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444814980 Even function: one of the functions that the value of x does not change even though -x is put into x-value.

ex: ]]> 2020-02-13 04:59:15 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444814980 Feedback for Hailey Moon https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444825391 compact and informative, how nice summary of zeros is :)
- Jeongrok Bae]]> 2020-02-13 06:15:43 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444825391 Symmetry respect to y-axis https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444862128
f(x)=f(-x) the graph is reflected over the y axis ]]> 2020-02-13 08:57:51 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444862128 Feedback for Liana Lee https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444863192 Great job with your accurate example and detailed description and steps 
-Helene Hahn ]]> 2020-02-13 09:01:51 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/444863192 Mrs. C. pcherdsuriya https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/446546879 I just wanted to say good job for providing a positive feedback to peer, definition, steps, and visuals! I will provide you math sentence frames in future! You can also "comment" under a post.]]> 2020-02-17 22:56:45 UTC https://padlet.com/pcherdsuriya/2oelfd9qxtq8/wish/446546879