Question 3 of 10At how many points does the graph of the function below intersect the x-axis?y = 3x2 - 5x + 1

To find out how many points the graph of the function intersects the x-axis, we need to find the roots of the equation. The roots of the equation are the x-values where y = 0.

The equation is a quadratic equation in the form of ax^2 + bx + c = 0, where a = 3, b = -5, and c = 1.

We can find the roots of the equation using the quadratic formula, which is x = [-b ± sqrt(b^2 - 4ac)] / (2a).

First, calculate the value under the square root, which is called the discriminant:

Discriminant = b^2 - 4ac = (-5)^2 - 431 = 25 - 12 = 13.

Since the discriminant is greater than zero, the equation has two distinct real roots. Therefore, the graph of the function intersects the x-axis at two points.