4. I'm on a quiz
Find the range of f(x) = –2x – 5 for the domain {–2, –1, 1, 2}.

A. {–1, –3, 3, 5}

B. {–1, –3, –7, –9}

C. {–1, –3, 7, 9}

D. {1, 3, 5, 7}

B. {–1, –3, –7, –9}

Step-by-step explanation:

Explanation:

Substitute each value in the domain for  

x

in the function and solve the function. The set of the results is the Range.

f ( x ) = − 2 x − 5

For:  

x = − 2 ,  f ( x )

is:

f ( − 2 ) = ( − 2 × − 2 ) − 5 = 4 − 5 = − 1

For:  

x = − 1 ,  f ( x )

is:

f ( − 1 ) = ( − 2 × − 1 ) − 5 = 2 − 5 = − 3  

For:  

x = 1 ,  f ( x )

is:

f ( 1 ) = ( − 2 × 1 ) − 5 = − 2 − 5 = − 7

For:  

x = 2 ,  f ( x )

is:

f ( 2 ) = ( − 2 × 2 ) − 5 = − 4 − 5 = − 9

The Range is:  

{ − 1 , − 3 , − 7 , − 9 }

Range = {-2(-2) - 5, -2(-1) - 5, -2(1) - 5, -2(2) - 5} = {4 - 5, 2 - 5, -2 - 5, -4 - 5} = (-1, -3, -7, -9}

{-1, -3, -7, -9} is  the range of the function f(x)

Step-by-step explanation:

Domain is the set of all complete possible values of x variable.

Range is the set of all values of f(x)

Given the function:

        .....[1]

Domain: {-2, -1, 1, 2}

For x = -2,

Substitute in [1] we have

Similarly ,

For x = -1

For x = 1:

For x = 2

Therefore, the range of f(x) = {-1, -3, -7, -9}

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