Question

7.

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


A. {–1, –3, 7, 9}

B. {1, 3, 5, 7}

C. {–1, –3, –7, –9}

D. {–1, –3, 3, 5}

Answer 1

-2(-2)-5= -1 -2(-1)-5=-3 -2(1)-5=-7 -2(2)-5=-9... A. {-1, -3, 7, 9}

Explanation:

By substituting each value of the domain of x in the function and solving it we will get the range of the function for respective domain

The given function is :

f(x) = -2x - 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

Hope this helps ..!!

Thank you :)

Answer 2

Answer: C) [-1,-3,-7,-19]

Step-by-step 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}