Symmetry Algebra 2 B

The point lies on the graph of the function.

(-5,8)

Which functions are symmetric about the y-axis? Check all of the boxes that apply.

First Third

Which graphs have a line of symmetry? Check all of the boxes that apply.

First Third

Which graphs have rotational symmetry? Check all of the boxes that apply.

First Third

The function f shown in the graph is an even function. The graph has been hidden for x ≥ 0. Complete the following sentences. f is over the interval 0 < x < 2. f(2) = f is over the interval 2 < x < 5.

increasing 3 decreasing

Describe the symmetry of these functions.

line only rotational only

Given that f(x) is even and g(x) is odd, determine whether each function is even, odd, or neither.

odd even

This graph shows a portion of an odd function. Use the graph to complete the table of values.

-2 -1 -2 -3

The function is increasing for

-7<x<-3

This graph shows a portion of an even function. Use the graph to complete the table of values.

1 1 3 3

f is an even function.

a=4

g is an odd function

b=3

The function is for -9 < x < -7.

constant

Determine whether each function is even, odd, or neither.

even neither odd neither

Check all of the functions that are odd.

f(x)=x5-3x3+2x f(x)=1/x

Which functions are even? Check all of the boxes that apply.

f(x)=|x| f(x)=x^4-x^2