Question

Find f(-1) for the function below.f(x)= 4x if x _< -1 x-2 if x > -1

Answer 1

We need to determine the value of the function when x is equal to -1, for the function below:

`f(x)=\begin{cases}4x\text{ for }x\le-1 \\ x-2\text{ for }x>-1\end{cases}`

The value of x is equal to -1, therefore we need to use the first expression:

`\begin{gathered} f(x)=4x \\ f(-1)=4\cdot(-1) \\ f(-1)=-4 \end{gathered}`

The function is equal to -4 when x is equal to -1.