﻿ Even and Odd Function Worksheet | Problems & Solutions
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# 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

Correct answer : (1)
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

Correct answer : (1)
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

Correct answer : (4)
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

Correct answer : (4)
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
IV. symmetric about origin
V. symmetric about $y$ - axis
 a. II and IV b. III only c. IV only d. I and V

Correct answer : (2)
6.
Which of the following is true for the function $f$($x$) = $\frac{1}{{x}^{2}+1}$ ?
I. $f$($x$) is an even function
II. symmetric about origin
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

Correct answer : (1)
7.
Which of the following is true for the function $f$($x$) = $e$$x$2?
I. symmetric about $y$ - axis
II. symmetric about origin
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

Correct answer : (4)
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

Correct answer : (4)
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

Correct answer : (3)
10.
Which of the following is true for the graph of 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