Question

2x+8 for

for
for
f(x) = -6
x + 5
-
− 5 ≤ x < −1
x = -1
−1 < x≤ 2
Find f(−1)

Answer 1

`f(-1) = -6`

Explanation:

The given function is a piecewise function. Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.

Given piecewise function:

`f(x)=\begin{cases}2x+8\;\;\;\text{for}\;\;\;-5 \leq x < -1\\-6\;\;\;\;\;\;\:\:\:\text{for}\;\;\;\:x=-1\\x+5\;\;\;\;\:\text{for}\;\;\;-1 < x\leq2\end{cases}`

To find f(-1), find the value of the function f(x) when x = -1.

From the given pieces function, we can see f(x) = -6 when x = -1.

Therefore:

`f(-1) = -6`