Question

Based on the graph, find the range of y = f(x).[0,^3sqrt13 ][0, 8][0, ∞)[0, 8)

Answer 1

Given the function:

$f(x)=\begin{cases}4;-5\le x<-2 \\ |x|;-2\le x<8 \\ ^3\sqrt[]{x};8\le x<13\end{cases}$

The graph of the function is as shown in the figure:

The range of the function will be as follows:

The minimum value of y = 0

And the maximum value of y = 8 (open circle)

So, the range of the function = [0, 8)