Quiz about Unit 4-Rational Functions Study Guide

Question 1

Simplify the radical expression:
$$\sqrt{128a^3b^4}$$

Accepted Answer

$$8ab^2\sqrt{2a}$$

Answer

$$2a\sqrt{8ab^2}$$

Answer

$$2ab\sqrt{64ab}$$

Answer

$$64ab^2\sqrt{2a}$$

Question 2

Simplify the radical expression:
$$\sqrt{92a^2b^3}$$

Accepted Answer

$$2ab\sqrt{23b}$$

Answer

$$23ab\sqrt{2b}$$

Answer

$$4ab\sqrt{23b}$$

Answer

$$4a^2b^2\sqrt{23b}$$

Question 3

Simplify the radical:

$$\sqrt{25x^6}$$

Accepted Answer

$$5x^3$$

Answer

$$5x$$

Answer

$$25x^3$$

Answer

$$5x^4$$

Question 4

Question 4.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 5

Multiply then simplify the radicals.

Accepted Answer

$$2x^2y^3\sqrt{6x}$$

Answer

$$\sqrt{24x^5y^6}$$

Answer

$$4x^5y^6\sqrt{3}$$

Question 6

Which is the graph of the square root parent function?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 7

What is the x-intercept of this function?

Accepted Answer

(11,0)

Answer

(3,2)

Answer

(2,3)

Answer

(0,11)

Question 8

What is the y-intercept of the graph?

Accepted Answer

(0,3)

Answer

(-1,0)

Answer

(0,-1)

Answer

(3,0)

Question 9

Write the above expression in exponential form.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 10

What is the root index for the square root of 9?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 11

According to exponent rules, when we raise the power to a power we _______ the exponents.

Accepted Answer

multiply

Answer

add

Answer

subtract

Answer

divide

Question 12

Anything raised to a power of zero is always:

Accepted Answer

1

Answer

0

Answer

itself

Answer

negative

Question 13

Simplify.

(2n⁴ )( 5n⁴⁾

Accepted Answer

10n8

Answer

7n4

Answer

10n16

Answer

none of the above

Question 14

Simplify.

Accepted Answer

a2b7

Answer

a8b13

Answer

a¹⁵b³⁰

Answer

none of the above

Question 15

Simplify the expression with positive exponents

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 16

simplify the expression (5³x²y⁴)⁰

Accepted Answer

1

Answer

5xy

Answer

0

Answer

5

Question 17

Question 17.

Accepted Answer

y16

Answer

y3

Answer

16y

Answer

y48

Question 18

The inverse of the function f(x) is written as ...

Accepted Answer

f -1(x)

Answer

f 2(x)

Answer

f '(x)

Answer

f +(x)

Question 19

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

x = 0

Answer

y = 0

Answer

x = -y

Question 20

Which of the following is NOT TRUE about inverse functions?

Accepted Answer

The domain of a function always becomes the domain of its inverse.

Answer

Inverse functions are reflections of each other over the line y = x.

Answer

You find the inverse by switching x and y in the equation.

Answer

The domain of a function always becomes the range of its inverse.

Question 21

What are the missing values if g(x)=f^-1(x)?

Accepted Answer

(9,-5)

Answer

(-9,-5)

Answer

(5,9)

Answer

(-9,5)

Question 22

What is the best description?

Accepted Answer

They are reflected over y=x, but they are not both functions.

Answer

They are both functions, but not inverse functions.

Answer

They are inverse functions.

Answer

They are not reflected over y=x, and they are not both functions.

Question 23

f(x) = -4x - 12

What is f^-1(x)?

Accepted Answer

$$f^{-1}\left(x\right)=-\frac{1}{4}x-3$$

Answer

f^-1(x) = 4x - 3

Answer

$$f^{-1}\left(x\right)=\frac{1}{4}x+3$$

Answer

f^-1(x) = -4x - 3

Question 24

Which is f ^-1(x)?

Accepted Answer

f^-1(x) = 3x + 15

Answer

f^-1(x) = 3x + 5

Answer

f^-1(x) = 3x - 5

Answer

f^-1(x) = 3x - 15

Question 25

What is the inverse of the points (1,3)(2,4)(6,2)?

Accepted Answer

(2,6)(3,1)(4,2)

Answer

(-3,-1)(-4,-2)(-2,-6)

Answer

(1,3)(2,4)(6,2)

Answer

(-1,-3)(-2,-4)(-6,-2)

Question 26

Find the inverse.

f(x)=2x-2

Accepted Answer

f^-1(x)=1/2x+1

Answer

f^-1(x)=-2-1/2x

Answer

f^-1(x)=-7/3x-20/3

Answer

2-2/5x

Question 27

What does it mean to find the inverse of a function?

Accepted Answer

switch the x's and y's

Answer

divide the x's and y's by 2

Answer

make the x's and y's negative

Answer

make the x's and y's the same

Unit 4-Rational Functions Study Guide

65 questions

Simplify the radical expression:
$\sqrt{27m^7p^{4\ }}$

Write as a radical expression
y²⁄ ³

Write with rational exponents:√(7x)

Simplify the following expression:
³√125x⁶y¹⁸

Multiply then simplify the radicals.

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Unit 4-Rational Functions Study Guide

65 questions

Simplify the radical expression: 27m7p4 \sqrt{27m^7p^{4\ }}27m7p4 ​

Write as a radical expressiony²⁄ ³

Write with rational exponents: √(7x)

Simplify the following expression:3√125x6y18

Multiply then simplify the radicals.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Simplify the radical expression:
$\sqrt{27m^7p^{4\ }}$

Write as a radical expression
y²⁄ ³

Write with rational exponents:√(7x)

Simplify the following expression:
³√125x⁶y¹⁸