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Square Root Functions — Quiz Answers

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21
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If f of x is equal to square root of x minus 3 end root , which inequality can be used to find the domain of f of x ?

A
square root of x minus 3 end root is less than or equal to 0
B
x minus 3 is greater than or equal to 0
C
x minus 3 is less than or equal to 0
D
square root of x minus 3 end root is greater than or equal to 0
22
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Which could be the function graphed as shown? Expand Image

A
f of x is equal to square root of x minus 2
B
f of x is equal to square root of x minus 3 end root plus 1
C
f of x is equal to square root of x plus 1 end root plus 8
D
f of x is equal to square root of 2 x plus 4 end root
23

Which equation can be simplified to find the inverse of y is equal to 5 x squared plus 10 ?

A
1 over y is equal to 5 x squared plus 10
B
negative y is equal to 5 x squared plus 10
C
y is equal to 1 fifth x squared plus 1 tenth
D
x is equal to 5 y squared plus 10
24

Which equation can be simplified to find the inverse of y is equal to 2 x squared ?

A
y is equal to 1 half x squared
B
x is equal to 2 y squared
C
negative y is equal to 2 x squared
D
1 over y is equal to 2 x squared
25

Which could be the function graphed as shown? Expand Image

A
f of x is equal to square root of x minus 5 end root plus 1
B
f of x is equal to square root of x plus 4 end root
C
f of x is equal to square root of x
D
f of x is equal to square root of x minus 2 end root
26

Which equation is the inverse of y is equal to 16 x squared plus 1 ?

A
y is equal to the fraction with numerator plus or minus square root of x minus 1 end root and denominator 4
B
y is equal to the fraction with numerator plus or minus square root of x and denominator 4 minus 1 fourth
C
y is equal to the fraction with numerator plus or minus square root of x minus 1 end root and denominator 16
D
y is equal to plus or minus square root of x over 16 minus 1 end root
27

If f of x is equal to square root of 1 half x minus 10 end root plus 3 , which inequality can be used to find the domain of f of x ?

A
1 half x minus 10 is greater than or equal to 0
B
square root of 1 half x minus 10 end root plus 3 is greater than or equal to 0
C
square root of 1 half x is greater than or equal to 0
D
1 half x is greater than or equal to 0
28

If the domain of the square root function f of x is x is less than or equal to 7 , which statement must be true?

A
The x -term inside the radical has a negative coefficient.
B
7 is subtracted from the x -term inside the radical.
C
The radical is multiplied by a negative number.
D
7 is added to the radical term.
29

Which equation can be simplified to find the inverse of y is equal to x squared minus 7 ?

A
negative x is equal to y squared minus 7
B
1 over x is equal to y squared minus 7
C
x is equal to y squared minus 7
D
x is equal to y squared minus 1 seventh
30

Which equation is the inverse of 2 times open paren x minus 2 close paren squared is equal to 8 times open paren 7 plus y close paren ?

A
y is equal to negative 2 plus or minus square root of 28 plus 4 x end root
B
y is equal to 1 fourth x squared minus x minus 6
C
y is equal to 2 plus or minus square root of 28 plus 4 x end root
D
negative 2 times open paren x minus 2 close paren squared is equal to negative 8 times open paren 7 plus y close paren
31

What is the domain of the square root function graphed as shown? Expand Image

A
x is less than or equal to 0
B
x is greater than or equal to negative 1
C
x is greater than or equal to 0
D
x is less than or equal to negative 1
32

Which equation is the inverse of 2 times open paren x minus 2 close paren squared is equal to 8 times open paren 7 plus y close paren ?

A
negative 2 times open paren x minus 2 close paren squared is equal to negative 8 times open paren 7 plus y close paren
B
y is equal to 2 plus or minus square root of 28 plus 4 x end root
C
y is equal to 1 fourth x squared minus x minus 6
D
y is equal to negative 2 plus or minus square root of 28 plus 4 x end root
33

Which equation can be simplified to find the inverse of y is equal to x squared minus 7 ?

A
x is equal to y squared minus 1 seventh
B
1 over x is equal to y squared minus 7
C
negative x is equal to y squared minus 7
D
x is equal to y squared minus 7
34

What is the domain of the function y=sqrt(16−x) ? Enter your answer in the box.

Answer:

x<=16

35

Which equation is the inverse of y is equal to 16 x squared plus 1 ?

A
y is equal to the fraction with numerator plus or minus square root of x minus 1 end root and denominator 4
B
y is equal to the fraction with numerator plus or minus square root of x minus 1 end root and denominator 16
C
y is equal to plus or minus square root of x over 16 minus 1 end root
D
y is equal to the fraction with numerator plus or minus square root of x and denominator 4 minus 1 fourth
36

Which equation can be simplified to find the inverse of y is equal to 5 x squared plus 10 ?

A
y is equal to 1 fifth x squared plus 1 tenth
B
1 over y is equal to 5 x squared plus 10
C
negative y is equal to 5 x squared plus 10
D
x is equal to 5 y squared plus 10
37

What is the domain of the square root function graphed as shown? Expand Image

A
x is greater than 1
B
x is greater than 3
C
x is greater than or equal to 1
D
x is greater than or equal to 3

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