Question

need some help please
Given the piecewise function
equation
Find f(-16). Round your answer to the nearest tenth.

Answer 1

@Luigi0210

Answer 2

anybody.................................................

Answer 3

well is " -16 " greater than, or less than \(\bf -2\) ?

Answer 4

is a piecewise function, thus you'd use the function piece that covers \(\bf -16\)

Answer 5

so the answer is 6.4 right ......???????

Answer 6

hmm where did you find -16? to be less or greater than -2?

Answer 7

i'm so confuse is that less than -2

Answer 8

recall that for negatives
the CLOSER to 0, the BIGGER
the FARTHER from 0, the SMALLER

thus, you're right, -16 is smaller than -2 and thus the function piece that covers that will be \(\large f(x)=
\begin{cases}
{\color{blue}{ 3x-9}}& x\le -2\leftarrow \textit{this one}
\\ \quad \\
-\frac{2}{5}x& x> -2
\end{cases}\)

Answer 9

so the answer is -57

Answer 10

thus \(\bf f(-16)={\color{blue}{ 3(-16)-9}}\to -57\) yeap

Answer 11

okzz thanks

Answer 12

yw