38.8k views
4 votes
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

Question 12 of 25How many times does the graph of the function below intersect or-example-1
User Zhanxw
by
7.5k points

1 Answer

2 votes

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.

User Theo Chronic
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories