Question 1

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

Accepted Answer

$$y = x^2$

Question 2

Which of the following statements is true about the graph of $$y = x^4$?

Accepted Answer

It is symmetric about the $$y-$$axis.

Question 3

Given $$f(x) = x^3$, which of the following best describes its symmetry?

Accepted Answer

Odd function

Question 4

Which of the following functions is neither even nor odd?

Accepted Answer

$$y = x^3$ + 1$$

Question 5

What is the domain of the function $$y = \sqrt{x}$$?

Accepted Answer

$$[0, \infty)$$

Question 6

Which of the following graphs represents $$y = x^2$?

Accepted Answer

A parabola opening upwards

Question 7

If $$f(x) = |x|$$, which of the following is true?

Accepted Answer

$$f(x) is $$even

Question 8

Which function has a domain of all real numbers?

Accepted Answer

$$y = x^3$

Question 9

Which of the following best describes the graph of $$y = |x|$$?

Accepted Answer

A V-shaped graph

Question 10

For which value of $$n is $$the function $$y = x^n an $$odd function?

Accepted Answer

$$n = 3$$

Question 11

Which of the following functions is both continuous and differentiable everywhere on $$(-\infty, \infty)$$?

Accepted Answer

$$y = x^3$

Question 12

Which function's graph passes through the points $$(0,0)$$ and $$(1,1)$$ and is symmetric about the origin?

Accepted Answer

$$y = x^3$

Question 13

Which of the following is true for the function $$f(x) = x^4$?

Accepted Answer

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

Question 14

Which function is not defined for $$x \u003c 0$$?

Accepted Answer

$$y = \sqrt{x}$$

Question 15

If $$f(x) = x^n$$ and $$n is an $$even integer, which of the following is always true?

Accepted Answer

$$f(x) is $$even

Graphs of Basic Functions and Even/Odd Functions

Study Guide - Practice Questions