Chapter 3.2, Problem 14PPS

To determine

To find the zeroe(s) of the function $f\left(x\right)=4x-36$

By graphing.

Answer to Problem 14PPS

  $x=9$

Explanation of Solution

Given:

  $f\left(x\right)=4x-36$

Concept Used:

Zeroes of a functions f are the points x where $f\left(x\right)=0$ , graphically zeroes are the points of a function where it intersect x -axis.

Calculation:

In order to find the zeroes of the function $f\left(x\right)=4x-36$

First let’s simplify it as:

  $\begin{array}{c}f\left(x\right)=4x-36\\ =4\left(x-9\right)\end{array}$

Now, draw the graph of this function using a graphing utility. As,

  

Since, zeroes of a function are the points where it intersect x- axis as there value of y is 0.

Here, the point at where the function intersects x-axis is $\left(9,0\right)$ .

Thus, the zero of the given function is $x=9$ .