Chapter 1.3, Problem 26E

To determine

To find:zero of the function $f\left(x\right)=3x+1$ and graph that function.

Answer to Problem 26E

  $-\frac{1}{3}$

  

Explanation of Solution

Given information:

The function is a follows:

  $f\left(x\right)=3x+1$ … (1)

Calculation:

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

  $\begin{array}{c}f\left(x\right)=3x+1\\ 0=3x+1\\ 3x=-1\\ x=-\frac{1}{3}\end{array}$

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

  $y=0,b=1$

When $y=0,x=-\frac{1}{3}$ , the coordinates is $\left(-\frac{1}{3},0\right)$ .The zero of the function is $-\frac{1}{3}$ .

The graph of this function is as follows: