Final answer:
The quadratic function f(x)=3x²-4x-2 has a positive discriminant, indicating that it has two real solutions.
Step-by-step explanation:
The function f(x)=3x²-4x-2 is a quadratic equation, which is of the form ax²+bx+c=0. The number of real solutions to a quadratic equation can be determined by the discriminant, which is b²-4ac.
For the given function, a=3, b=-4, and c=-2. Calculating the discriminant gives us (-4)² - 4(3)(-2) = 16 + 24 = 40, which is positive. A positive discriminant indicates that there are two real solutions to the equation.