Chapter 3.2, Problem 15PPS

To determine

To find: The zero of a given function $f\left(x\right)=7x+10$ by graphing.

Answer to Problem 15PPS

The required zero of the given function $f\left(x\right)=7x+10$ is $-\frac{10}{7}$ .

Explanation of Solution

Given information:

The given function $f\left(x\right)=7x+10$

Calculation:

Make a table to graph the function.

$x$	$f\left(x\right)=7x+10$	$f\left(x\right)$	$\left(x,f\left(x\right)\right)$
$-3$	$f\left(-3\right)=7\left(-3\right)+10$	$-11$	$\left(-3,-11\right)$
$0$	$f\left(0\right)=7\cdot 0+10$	$10$	$\left(0,10\right)$
$3$	$f\left(3\right)=7\cdot 3+10$	$31$	$\left(3,31\right)$

The graph intersects the x-axis at $-\frac{10}{7}$ or (-1.429). So, the zero is $-\frac{10}{7}$ .