﻿ Even and Odd Function Worksheet | Problems & Solutions

Even and Odd Function Worksheet

Even and Odd Function Worksheet
• Page 1
1.
Choose the graph of an odd function.

 a. Graph A b. Graph B c. Graph C d. Both Graph A & Graph B

2.
If ($k$) = cos$h$ ($\mathrm{3k}$), then which of the following is true?
 a. An even function b. An odd function c. Neither an even nor an odd function d. Not an odd function

3.
If ($l$) = sin$h$ (2$l$), then which of the following is true?
 a. Not an odd function b. An even function c. Neither an even nor an odd function d. An odd function

4.
Which of the following functions is even?
 a. $g$ ($x$) = $x$2 - 2$x$ - 3 b. $h$ ($x$) = $\frac{{x}^{3}}{8+{x}^{2}}$ c. $k$ ($x$) = $x$ d. $f$ ($x$) = $x$4 + 5

5.
Which of the following is true for the function $f$($x$) = $x$5 + $x$4 + $x$ + 1 ?
I. $f$($x$) is an even function
II. $f$($x$) is an odd function
III. $f$($x$) is neither even nor odd
V. symmetric about $y$ - axis
 a. II and IV b. III only c. IV only d. I and V

6.
Which of the following is true for the function $f$($x$) = $\frac{1}{{x}^{2}+1}$ ?
I. $f$($x$) is an even function
III. not symmetric
IV. symmetric about $y$ - axis
V. $f$(- $x$) = - $f$($x$)
 a. I and IV b. II only c. III only d. III and V

7.
Which of the following is true for the function $f$($x$) = $e$$x$2?
I. symmetric about $y$ - axis
III. not symmetric
IV. $f$($x$) is an even function
V. $f$(- $x$) = - $f$($x$)
 a. II only b. V only c. III and V d. I and IV

8.
Which of the following is true for the function $f$($x$) = $x$4 + 2$x$2 + 2 ?
 a. an odd function b. symmetric about the point $y$ = 2 c. symmetric about origin d. symmetric about $y$ - axis

9.
Which of the following is true for the function $f$($x$) = $x$3 + $x$ ?
 a. $f$($x$) is symmetric about $y$ - axis b. $f$($x$) is symmetric about $x$ - axis c. $f$($x$) is an odd function d. $f$($x$) is an even function

 a. symmetric with respect to the $y$-axis b. symmetric with respect to both $x$ and $y$-axes c. symmetric with respect to the origin d. symmetric with respect to the $x$-axis