Chapter 3.2, Problem 20PPS

To determine

To find: The zero of a given function $f\left(x\right)=6x-8$ by graphing.

Answer to Problem 20PPS

The required zero of the given function $f\left(x\right)=6x-8$ is $\frac{4}{3}$ .

Explanation of Solution

Given information:

The given function $f\left(x\right)=6x-8$

Calculation:

Make a table to graph the function.

$x$	$f\left(x\right)=6x-8$	$f\left(x\right)$	$\left(x,f\left(x\right)\right)$
$-2$	$f\left(-2\right)=6\left(-2\right)-8$	$-20$	$\left(-2,-20\right)$
$0$	$f\left(0\right)=6\cdot 0-8$	$-8$	$\left(0,-8\right)$
$2$	$f\left(2\right)=6\cdot 2-8$	$4$	$\left(2,4\right)$

The graph intersects the x-axis at $\frac{4}{3}$ or 1.333. So, the zero is $\frac{4}{3}$ .