How many times does the graph of the function below intersect or touch the x-axis?y = -3x2 + x + 4A.1B.0C.2D.3SUBMITarrow_backPREVIOUS

The graph of a function intersects or touches the x-axis at the roots of the function. The roots of the function are the solutions to the equation -3x^2 + x + 4 = 0.

This is a quadratic equation, and the number of solutions can be determined by the discriminant, which is given by b^2 - 4ac for an equation of the form ax^2 + bx + c = 0.

In this case, a = -3, b = 1, and c = 4.

So, the discriminant is (1)^2 - 4*(-3)*4 = 1 + 48 = 49.

Since the discriminant is positive, the equation has two distinct real roots.

Therefore, the graph of the function intersects the x-axis at two points.

So, the answer is C. 2.