Chapter 1.3, Problem 29E

To determine

To find:zero of the function $f\left(x\right)=5x-8$ and graph that function. Write none if no zero exists.

Answer to Problem 29E

  $\frac{8}{5}$

  

Explanation of Solution

Given information:

The function is a follows:

  $f\left(x\right)=5x-8$ … (1)

Calculation:

To find the zero of the function, put $f\left(x\right)=0$ in equation (1) and simplify it as follows:

  $\begin{array}{c}f\left(x\right)=5x-8\\ 0=5x-8\\ 5x=8\\ x=\frac{8}{5}\end{array}$

The zero of the function is $\frac{8}{5}$ .

Compare the function with the slope intercept form $y=mx+b$ , to get

  $y=0,b=-8$

The coordinates of the function is $\left(\frac{8}{5},0\right)$ . The graph of this function is as follows: