2.2.3 by Kristen Ritter

Ritter

kritter40 — 2024-10-09 16:27:46 UTC

Notation is how we write

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When f(-x), it multiplies all the x values in the equation by -1

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Reflects a graph from the x-axis or makes it go upside down

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Even is when the horizontal and parent function look the same

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When f(-x), it makes all the x values negative and makes it go upsidedown

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odd functions is where the horizontal and vertical flips look the same and even functions is where the normal verson and horizontal flips look the same

2024-10-09 16:29:43 UTC

If the x value becomes negative, all of the x values change while the y values stay the same. This, in turn, flips the function horizontally across the y-axis.

2024-10-09 16:29:50 UTC

A even function is when the graph would not change if it is reflected across the y axis. On the other hand a odd function is when it would be the same thing reflecting across the y axis as the x axis. If a function is neither that means it would look different after ever transformation you do.

2024-10-09 16:30:10 UTC

When f(-x), the x values become negative and reflects the graph over the x-axis

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An even function would be one that makes f(x)= f(-x) the same. An example would be absolute value. An odd function would be one that makes -f(x)=f(-x) look the same. An example would be cubic. An example of neither would be radical because it makes f(x) not equal f(-x) and f(-x) not equal -f(x).

Odd functions are where the horizontal and the vertical are equal

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Identifying Graphs

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Even is when the parent function is equal to its horizontal flip. Odd is when its vertical and horizontal flips are equal. Neither is when the parent, horizontal, and vertical are not equal.

2024-10-09 16:31:45 UTC

f(-x) affects the x value by making it negative, causing the graph to change over the x-axis horizontally but the y values would stay the same.

when the x gets a negative in front of it, this is a horizontal flip and the y-values stay the same. when the y value gets a negative in front of it, this is a vertical flip and all the x-values stay the same

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If f(x) = f(-x) then the function is even meaning that if it were shifted horizontally it would still look the same. If f(-x) = -f(x) then the function is odd and the horizontal and vertical shifts still look the same. If f(x) is not equal to f(-x) or -f(x) then the function looks different in all transformations.

2024-10-09 16:32:45 UTC

Even: When the parent function looks the same as the horizontally reflected function. In other words, when f(x) = f(-x). Odd: When the vertical reflection and the horizontal reflection of a function are equal. In other words, when f(-x)=-f(x). When the graph looks different each time you change it, it is neither odd nor even.

2024-10-09 16:33:51 UTC

An even function means that f(x) is equal to f(-x), meaning the graph is the same when horizontally reflected. An Odd Function means that f(-x) is eqal to -f(x), meaning the graph is the same horizontally reflected as it is vertically reflected. A function that is neither is when f(x) does not equal to f(-x), and f(-x) is not equal to -f(x), meaning the function is a radical.

if you can do a. horizontal flip and the graph looks the same, this is an even function(absolute value, quadratic).

2024-10-09 16:33:58 UTC

if you can do a. horizontal flip and the graph looks the same, this is an even function(absolute value, quadratic).

if the vertical flip and the horizontal look the same, it is an odd function (rational).

if any way you transform it never ends up looking the same, its an Odd function (radical).

2024-10-09 16:33:59 UTC

We usually don’t put an equation in the table

2024-10-09 16:34:03 UTC

When the x value is negative, it would change the domain, while the y values would stay the same. This would mean that the graph is also going to be an even function.

2024-10-09 16:34:05 UTC

An even function makes F(-x)=F(x) equal. An example of that is the Quadratic formula. An odd function is when F(-x)=-F(x), which makes it look the same. One example is cubic. The last one is neither that is if F(x) isn't equal to F(-x) and -f(x)

When creating an x and y table, rather than changing the y values of the parent function, the x value changes. This in turn causes it to reflect across the y-axis.

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The notation is different because the equation is written in the table on the y part of the table.

An "even" function refers to a functions graph that when reflected across the y axis, is still the exact same shape due to the axis of symmetry being x=0.

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An even function would be when f(x)=f(-x). This is because when reflecting a parabola or absolute value graph it is the same. An odd function is when f(-x)=-f(x) because the line(s) are moving both positively and negatively.

2024-10-10 16:45:02 UTC

f(-x) flips the function horizontally, since it's multiplied by negative 1