Symmetry

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

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

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

• $f\left(x\right)=x^4-x^2$

• $f\left(x\right)=x^2-3x+2$

• $f\left(x\right)=\sqrt{\left(x-2\right)}$

• $f\left(x\right)=\left|x\right|$

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

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This graph has rotational symmetry about the point:

Evaluate responses using AI:

OFF

This graph has rotational symmetry about the point:

Evaluate responses using AI:

OFF

Check all of the functions that are odd.

• $f\left(x\right)=x^3-x^2$

• $f\left(x\right)=x^5-3x^3+2x$

• $f\left(x\right)=4x+9$

• $f\left(x\right)=\frac{1}{x}$

f is an even function. a =

g is an odd function. b=

f is [ _________ ] over the interval 0 < x < 2.

• increasing

• decreasing

• constant