Question

If f(x) = 2x - 9, which of the following are correct? Select all that apply.

f(-3) = 15
f(-1) = -11
f(0) = -9
f(2) = 5
f(3) = -3

Answer 1

answer

f(-3) = 15
f(-1) = -11
f(0) = -9
f(3) = -3

Answer 2

f(-1)=-11

f(0)=-9

f(3)=-3

Explanation:

We have f(x) = 2x - 9,

• f(-3) is the value of the function f when x=-3, then you have to replace f(x) with x=-3,

`f(x) = 2x - 9\\f(-3)=2.(-3)-9\\f(-3)=-6-9\\f(-3)=-15\\eq 15`

This option is incorrect.

• f(-1) is the value of the function f when x=-1, then you have to replace f(x) with x=-1,

`f(x) = 2x - 9\\f(-1)=2.(-1)-9\\f(-1)=-2-9\\f(-1)=-11`

This option is correct.

• f(0) is the value of the function f when x=0, then you have to replace f(x) with x=0,

`f(x) = 2x - 9\\f(0)=2.(0)-9\\f(0)=0-9\\f(0)=-9`

This option is correct.

• f(2) is the value of the function f when x=2, then you have to replace f(x) with x=2,

`f(x) = 2x - 9\\f(2)=2.(2)-9\\f(2)=4-9\\f(2)=-5\\eq5`

This option is incorrect.

• f(3) is the value of the function f when x=3, then you have to replace f(x) with x=3,

`f(x) = 2x - 9\\f(3)=2.(3)-9\\f(3)=6-9\\f(3)=-3`

This option is correct.