Chapter 3.2, Problem 29PPS

To determine

To find: The zero of a given function $f\left(x\right)=13x+34$ by graphing.

Answer to Problem 29PPS

The required zero of the given function $f\left(x\right)=13x+34$ is $\frac{34}{13}$ .

Explanation of Solution

Given information:

The given function $f\left(x\right)=13x+34$

Calculation:

Make a table to graph the function.

x	$f\left(x\right)=13x+34$	$f\left(x\right)$	$\left(x,f\left(x\right)\right)$
-1	$f\left(-1\right)=13\left(-1\right)+34$	21	$\left(-1,21\right)$
1	$f\left(0\right)=13\left(0\right)+34$	34	$\left(0,34\right)$
3	$f\left(3\right)=13\left(3\right)+34$	73	$\left(3,73\right)$

The graph intersects the x-axis at $\frac{34}{13}$ or 2.615. So, the zero is $\frac{34}{13}$ .