Chapter 1 Review Group 1 by Stacey Johnson - MRH Faculty https://padlet.com/joh010995/p6jkqpj3vcuc86im Made with swagger en-us 2020-10-08 16:19:05 UTC 2026-03-04 12:04:57 UTC hello@padlet.com Chapter 1 Topics: joh010995 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/904062436 Topics include:
  1. Identifying if a relation is a function or not.
  2. Identifying if the inverse of a relation is a function.
  3. Finding domain and range of functions.
  4. Identifying functions as being even, odd, or neither.
  5. Identifying local extrema.
  6. Stating intervals of increase and/or decrease.
  7. Identifying parent functions and their properties (domain, range, even/odd/neither)
  8. Finding the inverse of a function algebraically.
  9. Verifying two functions are inverses.
  10. Combing functions with addition, subtraction, multiplication, and division.
  11. Composition of functions.
  12. Decomposition of functions.
  13. Transformations of functions.
]]> 2020-11-09 13:35:42 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/904062436 Identifying if a relation is a function or not iryg135128 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905416619 2020-11-09 18:14:40 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905416619 Transformations of functions tken249586 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905419136 How to find the new points and graphs with a chart (you can select the image and open it in a new window to view the image larger)]]> 2020-11-09 18:15:09 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905419136 Identifying Local Extrema mjar35949 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905420142 2020-11-09 18:15:20 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905420142 jbox247789 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905420388 13. Transformation of Functions: How to tell the transformations of a function
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:transformations/x2ec2f6f830c9fb89:trans-all-together/v/shifting-and-reflecting-functions

]]> 2020-11-09 18:15:23 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905420388 Identifying functions as even, odd, or neither mgar57072 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905420525 2020-11-09 18:15:25 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905420525 Finding domain of a function afox1987691 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905421132 2020-11-09 18:15:31 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905421132 Finding the inverse of a function algebraically dgan119524 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905421203 2020-11-09 18:15:32 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905421203 2. Identifying if the inverse of a relation is a function. sall199506 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905426510 The inverse of a relation is only a function if it passes the horizontal line test. 
If a relation passes the horizontal and vertical line test it is a "one-to-one" function.]]> 2020-11-09 18:16:30 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905426510 Decomposition of functions scoa226819 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905430262 2020-11-09 18:17:13 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905430262 identifying if the inverse of a relation is a function rjoh290350 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905430436 2020-11-09 18:17:16 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905430436 Verifying two functions are inverses bbel200642 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905438747 2020-11-09 18:18:56 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905438747 Identifying Local Extrema mjar35949 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905441747 2020-11-09 18:19:31 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905441747 Composition of functions: vgut1108751 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905451060 2020-11-09 18:21:23 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905451060 Finding Range of Function mhop3010111 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905462627 2020-11-09 18:23:44 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905462627 Parent Functions mjar35949 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905464116 2020-11-09 18:24:03 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/905464116 Transformations of functions tsch1245061 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906209075 Shifts are always either addition or subtraction, Stretches and shrinks are multiplication. H. are with the x and V. are outside. Reflections are represented with negatives. ]]> 2020-11-09 21:21:49 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906209075 Even Odd Neither amed158959 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906210633 Algebraically Even: For all x in the domain of f, f(-x)=f(x); To identify: plug in a # and its opposite and compare. Ex: f(x) = x^2
f(3) = 3^2=9
f(-3)=(-3)^2 = 9
*same=even*
Algebraically Odd: For all x in the domain of f, f(-x)=-f(x); to identify plug in a # and its opposite.Ex: f(x)=x^3
f(3)=(3)^3 = 27
f(-3)=(-3)^3 = -27 *opposites mean odd*]]> 2020-11-09 21:22:22 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906210633 Combining Functions through Addition and Subtraction. jspe246619 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906210974 You have to add and subtract through the like terms of the functions given.]]> 2020-11-09 21:22:30 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906210974 Composition of functions cwig288924 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906210989 To find f(g(x)):
f(x)= 2x+3
g(x)=x+7
Plug in g(x) wherever there is an x in the f(x) equation
2(x+7)+3
"Solve" equation
2x+14+3
2x+17
So, f(g(x))=2x+17]]> 2020-11-09 21:22:30 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906210989 Identifying Local Extrema mtru252821 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906211273 They are the maximums and minimums of the graph]]> 2020-11-09 21:22:36 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906211273 Finding the inverses of functions algebraically wwoo128219 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906212123 1.) switch x and y
2.) solve for y
3.) factor out y if needed

]]> 2020-11-09 21:22:56 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906212123 combining functions through multiplication and division goen231179 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906213254 multiplication: multiply like terms together, like expanding 
division: set the function is a fraction and simplify]]> 2020-11-09 21:23:21 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906213254 Identifying Parent Functions and their Properties jmos257398 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906213781 2020-11-09 21:23:32 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906213781 Verifying two functions are inverses. vmed235660 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906213947 You can verify that two functions are inverses of each other by testing that for f(g(x))=x for every value of x in the domain of g, as well as for g(f(x))=x for every value of x in the domain of . ]]> 2020-11-09 21:23:36 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906213947 Identifying if a relation is a function lmad72707 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906215081 Use the Verticle Line test to identify if it is a function or not. If there is only 1 x value at each point on the verticle line then it's a function.
For each x value there is exactly 1 y value. 
Two x-values can share a y-value 
Two y-value's CANNOT share an x-value]]> 2020-11-09 21:23:58 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906215081 Finding Domain and Range of a function vrub289346 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906215124 graphically]]> 2020-11-09 21:23:59 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906215124 Verifying if Two Functions are Inverses bsin2779161 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906219510 A function and its inverse is only a one-to-one function if:
- f(g(x))= x (for every x in the domain for g)
- g(f(x))= x (for every x in the domain for f)

For example:
f(x)= x³ +1
g(x) =∛(x-1)

To start, you would solve for the composition of the function. 

So, if we were to solve f(x) first, it would become f(g(x))= (∛(x-1))³ +1

The cube root would be canceled by the power of three, so you would be left with x-1+1.  -1+1 would cancel out, so you would just be left with x.

To continue, you need to do the same thing to the other function g(x).
g(f(x)) = ∛(x³+1-1)

Both the cube root and the exponent of 3 would be canceled out as well as the +1-1. So, you would just be left with x.

f(g(x))= x
g(f(x))=x

Both functions are equal to x. Congrats! They are a one-to-one function!]]> 2020-11-09 21:25:41 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906219510 identifying domain and range atra106566 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906220531 domain: all possible x values
range all possible y values ]]> 2020-11-09 21:26:03 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906220531 jmar120416 https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906221069 2020-11-09 21:26:14 UTC https://padlet.com/joh010995/p6jkqpj3vcuc86im/wish/906221069