Question

Question 12 of 25How many times does the graph of the function below intersect or touch thex-axis?y=-3x²+x+4O A. 3OB. 1OC. 2D. OSUBMIT← PREVIOUS

Answer 1

To find:

The number of times graph intersect or touch the x-axis.

Solution:

It is known that the graph touches or intersect x-axis where y = 0. So, the graph touches or intersects when -3x²+x+4 = 0.

The above equation is a quadratic equation. The quadratic equation has two distinct real solutions.

Thus, the graph intersects or touches the x-axis at exactly two points.

So, the third option is correct.