Question

21.

Find the range of f(x)=-2x-5 for the domain {-2,-1,1,2}.

A. {-1,-3,-7,-9}

B. {-1,-3,3,5}

C. {-1,-3,7,9}

D. {1, 3, 5, 7}

Answer 1

A. {-1, -3, -7, -9}

Explanation:

Plug all 4 points into the equation -2x-5.

-2(-2) - 5 = 4 - 5 = -1

(-2, -1)

-2(-1) - 5 = 2 - 5 = -3

(-1, -3)

-2(1) - 5 = -2 - 5 = -7

(1, -7)

-2(2) - 5 = -4 - 5 = -9

(2, -9)

The y-values make up the range, making the answer A, {-1, -3, -7, -9}

Answer 2

A. {-1,-3,-7,-9}

Explanation:

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}

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Answer:

{-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}