Question

The graph of f(x) is shown. Sketch the graphs of the following functions.f(3x)

Answer 1

According to the graph, we have:

`f(x)=\begin{cases}(1)/(3)x+1{,\text{ if }x\leq3} \\ (7)/(2)x-(21)/(2),\text{ if }x>3{}\end{cases}`

Then, we have:

`f(3x)=\begin{cases}{x+1},\text{ if }x\leq1 \\ (21)/(2)(x-1),\text{ if}x>1{}\end{cases}`

This function is represented by: