Question 1

Which of the following equations correctly represents an odd function?

Accepted Answer

$$f(-x) = -f(x)$$

Question 2

Given the function $$y = x^3$, which of the following statements is true?

Accepted Answer

The function is odd because $$(-x)^3$$ = $$-x^3$$

Question 3

If a function $$f(x) is $$odd, what is the geometric interpretation of its graph?

Accepted Answer

It is symmetric about the origin

Question 4

Given the function $$y = x^2$, what happens when you substitute -x$ for x$?

Accepted Answer

$$y = x^2$

Question 5

Which of the following best describes the symmetry of the function $$y = x^2$?

Accepted Answer

Symmetric about the y-axis

Question 6

If the point $$(x, y) is on $$the graph of an odd function, which other point must also be on the graph?

Accepted Answer

$$(-x, -y)$$

Question 7

Which of the following is true for all even functions?

Accepted Answer

$$f(x) = f(-x)$$

Question 8

Suppose $$f(x) is an $$odd function and $$f(2) = 5. $$What is $$f(-2)$$?

Accepted Answer

$$-5$$

Question 9

Which of the following is an example of an even function?

Accepted Answer

$$f(x) = x^2$

Question 10

A function $$f(x)$$ satisfies $$f(-x) = -f(x)$$ for all $$x in $$its domain. Which of the following must be true?

Accepted Answer

The graph is symmetric about the origin

Symmetry of Functions: Even and Odd Functions

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