AnswersAlgebra IIDomain and Range

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1
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What are the inputs of the function?

A
negative 6 , negative 3 , 1 , 5
B
negative 8 , 2 , 1 , 5
C
negative 6 , negative 3 , 4 , 6
D
negative 8 , 2 , 4 , 6
2
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Which function has a domain where x is not equal to 3 and a range where y is not equal to 2 ?

A
f of x is equal to the fraction with numerator 2 times open paren x plus 5 close paren and denominator open paren x plus 3 close paren
B
f of x is equal to the fraction with numerator open paren x plus 5 close paren and denominator open paren x minus 3 close paren
C
f of x is equal to the fraction with numerator open paren x minus 5 close paren and denominator x plus 3
D
f of x is equal to the fraction with numerator 2 times open paren x plus 5 close paren and denominator open paren x minus 3 close paren
3

What are the domain and range of the function f of x is equal to square root of x minus 7 end root plus 9 ?

A
domain: x is greater than or equal to 9 range: y is greater than or equal to 7
B
domain: x is greater than or equal to 7 range: y is greater than or equal to 9
C
domain: x is greater than or equal to negative 7 range: y is greater than or equal to 9
D
domain: x is greater than or equal to 7 range: y is greater than or equal to negative 9
4

The function h of t is equal to negative 4 point 9 2 t squared plus 17 point 6 9 t plus 575 is used to model the height of an object being tossed from a tall building, where h of t is the height in meters and t is the time in seconds. What are the domain and range? Round to the nearest hundredth.

A
domain: left bracket 1 point 8 0 comma 12 point 7 6 right bracket range: left bracket 0 comma 590 point 9 0 right bracket
B
domain: left bracket 0 comma 12 point 7 6 right bracket range: left bracket 1 point 8 0 comma 590 point 9 0 right bracket
C
domain: left bracket 1 point 8 0 comma 12 point 7 6 right bracket range: left bracket 1 point 8 0 comma 590 point 9 0 right bracket
D
domain: left bracket 0 comma 12 point 7 6 right bracket range: left bracket 0 comma 590 point 9 0 right bracket
5

What are the domain and range of the function f of x is equal to x to the 4th power minus 2 x squared minus 4 ?

A
domain: all real numbers range: all real numbers greater than or equal to negative 5
B
domain: all real numbers range: all real numbers greater than or equal to negative 4
C
domain: all real numbers between negative 2 point 5 and 2 point 5 range: all real numbers
D
domain: all real numbers between negative 2 point 5 and 2 point 5 range: all real numbers greater than or equal to negative 5
6

What are the domain and range of the function f of x is equal to negative 3 times open paren x minus 5 close paren squared plus 4 ?

A
domain: open paren negative infinity comma 5 close paren range: open paren negative infinity comma 4 close paren
B
domain: open paren negative infinity comma 4 close paren range: open paren negative infinity comma infinity close paren
C
domain: open paren negative infinity comma 5 close paren range: open paren negative infinity comma infinity close paren
D
domain: open paren negative infinity comma infinity close paren range: open paren negative infinity comma 4 close paren
7

What are the domain and range of the function f of x is equal to negative log times open paren 5 minus x close paren plus 9 ?

A
domain: x is less than 5 range: open paren negative infinity comma infinity close paren
B
domain: x is greater than or equal to 9 range: y is greater than or equal to 9
C
domain: x is less than 5 range: y is greater than or equal to 9
D
domain: x is greater than or equal to 9 range: open paren negative infinity comma infinity close paren
8

What are the domain and range of the function f of x is equal to 3 fourths x plus 5 ?

A
domain: open paren 3 fourths comma infinity close paren range: open paren negative infinity comma 5 close paren
B
domain: open paren negative infinity comma infinity close paren range: open paren negative infinity comma infinity close paren
C
domain: open paren 3 fourths comma infinity close paren range: open paren 5 comma infinity close paren
D
domain: open paren negative infinity comma 3 fourths close paren range: open paren 5 comma infinity close paren
9

When graphing the function f of x is equal to the fraction with numerator x squared minus 81 and denominator x squared minus 11 x plus 18 on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function?

A
Xmin: minus 10 , Xmax: 10 Ymin: minus 10 , Ymax: 10
B
Xmin: minus 10 , Xmax: 0 Ymin: minus 10 , Ymax: 0
C
Xmin: minus 5 , Xmax: 5 Ymin: minus 5 , Ymax: 5
D
Xmin: 0 , Xmax: 10 Ymin: 0 , Ymax: 10
10

What are the outputs of the function?

A
6 , 2 , negative 3 , 4
B
negative 1 , 0 , 7 , 10
C
6 , 2 , 7 , 10
D
negative 1 , 0 , negative 3 , 4

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