Question

Given the function:7I <0f(x)={21 - 14 r > 0Calculate the following values:{(- 1) =f(0) ={(2) =

Answer 1

Given a function:

`f(x)=\begin{cases}2x-7;\text{ }x<0 \\ 2x-14;x\ge0\end{cases}`

We have to find the value of f(-1), f(0) and f(2).

It is known that the value of function is f(x) = 2x - 7 when x is less than zero. So, f(-1) is:

`\begin{gathered} f(-1)=2(-1)-7 \\ f(-1)=-2-7 \\ f(-1)=-9 \end{gathered}`

Thus, f(-1) = -9.

It is known that the value of the function is f(x) = 2x - 14 when x is equal to or greater than zero. So, f(0) is:

`\begin{gathered} f(0)=2(0)-14 \\ f(0)=0-14 \\ f(0)=-14 \end{gathered}`

Thus, f(0) = -14.

It is known that the value of the function is f(x) = 2x - 14 when is x is greater than zero. So, f(2) is:

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

Thus, f(2) = -10.