Question

For the linear function ƒ(x) = 7x – 4, find the value of ƒ(x) at x = –2, 0, and 2.Question 3 options:A) ƒ(–2) = 10, ƒ(0) = –4, ƒ(2) = –18B) ƒ(–2) = –18, ƒ(0) = 4, ƒ(2) = 10C) ƒ(–2) = 18, ƒ(0) = –4, ƒ(2) = 10D) ƒ(–2) = –18, ƒ(0) = –4, ƒ(2) = 10

Answer 1

From the question,

We are given the function

`f(x)=7x-4`

We are to find the value of f(x) at

`x=-2,x=0,x=2`

When x = - 2 then

`\begin{gathered} f(-2)=7(-2)-4 \\ f(-2)=-14-4 \\ f(-2)=-18 \end{gathered}`

When x = 0, then

`\begin{gathered} f(0)=7(0)-4 \\ f(0)=0-4 \\ f(0)=-4 \end{gathered}`

when x = 2, then

`\begin{gathered} f(2)=7(2)-4 \\ f(2)=14-4 \\ f(2)=10 \end{gathered}`

Therefore, the values of f(x) at x = -2, x = 0, x = 2 are

f(-2) = -18

f(0) = -4

f(2) = 10

Hence the correct option is D