Understanding Function Evaluation and Simplification

The video tutorial explains how to solve a problem involving a quadratic function, f(x) = -2x^2 - 3x. It guides the viewer through calculating f(-3) and f(2) by substituting the values into the function and simplifying the expressions. The final step involves finding the difference between f(-3) and f(2), resulting in a solution of 5.

What is the first step in evaluating f(-3) for the function f(x) = -2x^2 - 3x?

• Substitute -3 for x in the function

• Divide the function by -3

• Add 3 to the function

• Multiply the function by 2

After substituting -3 into the function, what is the result of -2 times the square of -3?

• -9

• 9

• -18

• 18

What is the result of f(2) when 2 is substituted into the function f(x) = -2x^2 - 3x?

• -6

• -8

• -14

• -12

What is the final result of f(-3) - f(2)?

• -3

• -5

• 5

• 3

What operation is performed to simplify f(-3) - f(2) from -9 - (-14)?

• Addition

• Multiplication

• Division

• Subtraction