Question

find the range of f(x)=-2x-5 for domain -2, -1, 1, 2

Answer 1

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}

Answer 2

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:

$f(x) = -2x-5$        .....[1]

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

For x = -2,

Substitute in [1] we have

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

Similarly ,

For x = -1

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

For x = 1:

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

For x = 2

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

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