Question

Given the function f ( x ) = { 7 x − 7 x < 0 7 x − 14 x ≥ 0 Calculate the following values: f ( − 1 ) = f ( 0 ) = f ( 2 ) =

Answer 1

`\begin{gathered} a)\text{ -14} \\ b)\text{ -14} \\ c)\text{ 0} \end{gathered}`

Step-by-step explanation:

From the piecewise function shown, we start by comparing the domain of values

a) f(-1)

This is less than zero, so we use the first equation

f(-1) : 7(-1) - 7 = -7-7 = -14

b) f(0)

This is greater than or equal to zero, we use the second function:

7(0) -14 = -14

c) f(2)

This is greater than 0, so we use the second function

We have it that:

f(2) = 7(2) - 14 = 14-14 = 0