Question

At which root does the graph of f(x) = (x – 5)2(x + 2)2 touch the x-axis?

-5
0-2
2
05

Answer 1

Option B & D

Explanation:

Function is;

f(x) = (x - 5)³(x + 2)²

We want to find the point in thich the graph of this function touches the x-axis.

Usually, the point at which the graph touches the x-axis means that y is 0 at that point.

Thus;

(x - 5)³(x + 2)² = 0

This means that;

x - 5 = 0 and x + 2 = 0

Thus,x = -5 and x = -2