Question

Find the values for the given function

f(x) = -x + 2

f(2)=______
f(1/2)______
f(-2)_______

Answer 1

`f(2)=0`

`f\left((1)/(2)\right)=(3)/(2)`

`f(-2)=4`

Explanation:

Given function:

`f(x)=-x+2`

To find f(2), substitute x = 2 into the given function:

`\begin{aligned}x=2 \implies f(2)&=-(2)+2\\f(2)&=-2+2\\f(2)&=0\end{aligned}`

To find f(1/2), substitute x = 1/2 into the given function:

`\begin{aligned}x=(1)/(2) \implies f\left((1)/(2)\right)&=-\left((1)/(2)\right)+2\\f\left((1)/(2)\right)&=-(1)/(2)+2\\f\left((1)/(2)\right)&=(3)/(2)\end{aligned}`

To find f(-2), substitute x = -2 into the given function:

`\begin{aligned}x=-2 \implies f(-2)&=-(-2)+2\\f(-2)&=2+2\\f(-2)&=4\end{aligned}`

Answer 2

• f(2) = 0,
• f(1/2) = 1.5,
• f(-2) = 4.

Explanation:

Given function

• f(x) = - x + 2

Find the following values of function by substituting x-values

• f(2) = - 2 + 2 = 0,
• f(1/2) = - 1/2 + 2 = 2 - 0.5 = 1.5,
• f(-2) = - (-2) + 2 = 2 + 2 = 4.