Chapter 3.7, Problem 22PPS

To determine

To graph the function $f(x)=\{\begin{array}{l}10x+100,0<x<20\\ 300,x\ge 20\end{array}$ .

Explanation of Solution

Given:

Function: $f(x)=\{\begin{array}{l}10x+100,0<x<20\\ 300,x\ge 20\end{array}$

Calculation for graph:

Consider $f(x)=10x+100$ when $0<x<20$

Values of x	Values of f (x)
5	150
1	110
2	120
3	130
4	140

By taking different values of x , the graph can be plotted.

Consider $f(x)=300$ when $x\ge 20$

Values of x	Values of f (x)
25	300
30	300
35	300
40	300
45	300

By taking different values of x , the graph can be plotted.

Graph:

  

Interpretation:

From the graph, both the piece functions are graphed as above.