Chapter 3.2, Problem 17PPS

To determine

To find the zeroes of the function $f\left(x\right)=7$

By graphing.

Answer to Problem 17PPS

The given function does not have a zero.

Explanation of Solution

Given:

  $f\left(x\right)=7$

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 $f\left(x\right)=7$

First 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 function $f\left(x\right)=7$ is not intersecting x -axis for any value of x, this is a constant function.

  $f\left(x\right)=7\ne 0$

For any x.

Thus, the given function does not have a zero.