Question

Evaluate this function at X = 6.express your answer as an integer or a simplified fraction that is the function is undefined at the given value, indicate “undefined”.

Answer 1

Since this is a pieciwise function we need to determine which expression to use for the value of x given. For the definition of the function we notice that for every x grater than 4 we need to use the function:

$-2x-6$

Since in this case we want to evaluate the function at x=6 and this value is greater that four we need to use this expression.

Then we have that:

$\begin{gathered} f(6)=-2(6)-6 \\ =-12-6 \\ =-18 \end{gathered}$

Therefore the value of the function at x=6 is -18