Given that f ( x ) f\left(x\right) f ( x ) is an even function and that f ( − 3 ) = 19 f\left(-3\right)=19 f ( − 3 ) = 1 9 , which statement must also be true?

f ( 3 ) = 19 f\left(3\right)=19 f ( 3 ) = 1 9

f ( − 3 ) = − 19 f\left(-3\right)=-19 f ( − 3 ) = − 1 9

f ( 3 ) = − 19 f\left(3\right)=-19 f ( 3 ) = − 1 9

f ( 19 ) = − 3 f\left(19\right)=-3 f ( 1 9 ) = − 3

Given that g ( x ) g\left(x\right) g ( x ) is an odd function and that g ( 2.5 ) = 4 g\left(2.5\right)=4 g ( 2 . 5 ) = 4 , which statement must also be true?

g ( − 2.5 ) = − 4 g\left(-2.5\right)=-4 g ( − 2 . 5 ) = − 4

g ( 2.5 ) = − 4 g\left(2.5\right)=-4 g ( 2 . 5 ) = − 4

g ( − 2.5 ) = 4 g\left(-2.5\right)=4 g ( − 2 . 5 ) = 4

g ( 4 ) = 2.5 g\left(4\right)=2.5 g ( 4 ) = 2 . 5

Which of the following is an even function (choose all that apply)?

{ ( − 2 , 5 ) ( − 1 , 9 ) ( 2 , 5 ) ( 1 , 9 ) } \left\{\left(-2,5\right)\left(-1,9\right)\left(2,5\right)\left(1,9\right)\right\} { ( − 2 , 5 ) ( − 1 , 9 ) ( 2 , 5 ) ( 1 , 9 ) }

{ ( 7 , 4 ) ( 5 , 5 ) ( 0 , 2 ) ( − 5 , 5 ) ( − 7 , 4 ) } \left\{\left(7,4\right)\left(5,5\right)\left(0,2\right)\left(-5,5\right)\left(-7,4\right)\right\} { ( 7 , 4 ) ( 5 , 5 ) ( 0 , 2 ) ( − 5 , 5 ) ( − 7 , 4 ) }

{ ( 3 , 8 ) ( 5 , 1 ) ( − 3 , − 8 ) ( − 5 , 1 ) } \left\{\left(3,8\right)\left(5,1\right)\left(-3,-8\right)\left(-5,1\right)\right\} { ( 3 , 8 ) ( 5 , 1 ) ( − 3 , − 8 ) ( − 5 , 1 ) }

{ ( 0 , 0 ) ( 1 , 1 ) ( 2 , 4 ) ( 3 , 9 ) ( 4 , 16 ) } \left\{\left(0,0\right)\left(1,1\right)\left(2,4\right)\left(3,9\right)\left(4,16\right)\right\} { ( 0 , 0 ) ( 1 , 1 ) ( 2 , 4 ) ( 3 , 9 ) ( 4 , 1 6 ) }

{ ( 0 , 3 ) ( 0 , 8 ) ( 0 , − 1 ) ( 0 , − 12 ) } \left\{\left(0,3\right)\left(0,8\right)\left(0,-1\right)\left(0,-12\right)\right\} { ( 0 , 3 ) ( 0 , 8 ) ( 0 , − 1 ) ( 0 , − 1 2 ) }

A ratio of even functions (given they have no common factors) will result in:

A function that is neither odd nor even

A ratio of odd functions (given they have no common factors) will result in:

A function that is neither odd nor even

A ratio of odd and even functions (given they have no common factors) will result in:

A function that is neither odd nor even

Even and Odd Functions

Authored by Craig Frame

Mathematics

8th - 11th Grade

CCSS covered

Used 952+ times

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20 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$y=7$

Even Function

Odd Function

Function - neither even nor odd

Not a function

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$x=-2$

Even Function

Odd Function

Function - neither even nor odd

Not a function

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given that $f\left(x\right)$ is an even function and that $f\left(-3\right)=19$ , which statement must also be true?

$f\left(3\right)=19$

$f\left(-3\right)=-19$

$f\left(3\right)=-19$

$f\left(19\right)=-3$

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given that $g\left(x\right)$ is an odd function and that $g\left(2.5\right)=4$ , which statement must also be true?

$g\left(-2.5\right)=-4$

$g\left(2.5\right)=-4$

$g\left(-2.5\right)=4$

$g\left(4\right)=2.5$

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$y=x^2+3x+9$

Even Function

Odd Function

Function - neither even nor odd

Not a function

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$y=7x^8-9x^2+33$

Even Function

Odd Function

Function - neither even nor odd

Not a function

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$y=8x^{12}-8x^4+6x+22$

Even Function

Odd Function

Function - neither even nor odd

Not a function

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$y=12x^7+6x^5-8x^3+4x$

Even Function

Odd Function

Function - neither even nor odd

Not a function

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$y=\frac{x^3+x}{3x^2-4}$

Even Function

Odd Function

Function - neither even nor odd

Not a function

Tags

CCSS.HSF.BF.B.3

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$y=\frac{3x^4}{\sqrt{x^2-7}}$

Even Function

Odd Function

Function - neither even nor odd

Not a function

Tags

CCSS.HSF.BF.B.3

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Even and Odd Functions

y=7y=7y=7

x=−2x=-2x=−2

Given that f(x)f\left(x\right)f(x) is an even function and that f(−3)=19f\left(-3\right)=19f(−3)=19 , which statement must also be true?

Given that g(x)g\left(x\right)g(x) is an odd function and that g(2.5)=4g\left(2.5\right)=4g(2.5)=4 , which statement must also be true?

y=x2+3x+9y=x^2+3x+9y=x2+3x+9

y=7x8−9x2+33y=7x^8-9x^2+33y=7x8−9x2+33

y=8x12−8x4+6x+22y=8x^{12}-8x^4+6x+22y=8x12−8x4+6x+22

y=12x7+6x5−8x3+4xy=12x^7+6x^5-8x^3+4xy=12x7+6x5−8x3+4x

y=x3+x3x2−4y=\frac{x^3+x}{3x^2-4}y=3x2−4x3+x​

y=3x4x2−7y=\frac{3x^4}{\sqrt{x^2-7}}y=x2−7​3x4​

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$y=7$

$x=-2$

Given that $f\left(x\right)$ is an even function and that $f\left(-3\right)=19$ , which statement must also be true?

Given that $g\left(x\right)$ is an odd function and that $g\left(2.5\right)=4$ , which statement must also be true?

$y=x^2+3x+9$

$y=7x^8-9x^2+33$

$y=8x^{12}-8x^4+6x+22$

$y=12x^7+6x^5-8x^3+4x$

$y=\frac{x^3+x}{3x^2-4}$

$y=\frac{3x^4}{\sqrt{x^2-7}}$