Chapter ISG, Problem 9.1.5P

To determine

To find: The possibility of a quadratic function for which the maximum or minimum value is the same as both the x-intercept and the y-intercept.

Answer to Problem 9.1.5P

Yes, it is possible for a quadratic function to have the maximum or minimum value the same as both the x-intercept and the y-intercept. For example, $y=x^2$ .

Explanation of Solution

Given Information: If possible, a quadratic function having the maximum or minimum value the same as both the x-intercept and the y-intercept is to be graphed.

Consider the quadratic function $y=x^2$ .

Then this function has its minimum value at $x=0$ .

Also, its x-intercept is $x=0$ and y-intercept is $y=0$ .

So, for the function $y=x^2$ , the minimum value is the same as both the x-intercept and the y-intercept.

Graph: