Isolating Variables and Function Evaluation

The video tutorial explains how to determine the value of C in a given function f(x) when f(2) equals 8. It starts by setting up the equation based on the given values and then provides a step-by-step solution to solve for C. Finally, it derives the original function f(x) as negative two x squared plus five x plus six.

What is the output of the function f(x) when the input x is 2?

• 5

• 2

• 8

• 10

Which equation represents the setup to find the value of C?

• f(2) = -2x^2 + 5x + C

• f(2) = 2x + 5 - C

• f(2) = -2x^2 + 5x - C

• f(2) = 2x^2 - 5x + C

What is the value of C after solving the equation?

• 6

• -8

• 8

• -6

What operation is performed to isolate C in the equation?

• Division

• Multiplication

• Subtraction

• Addition

What is the original function f(x) derived at the end?

• f(x) = 2x^2 + 5x - 6

• f(x) = -2x^2 - 5x + 6

• f(x) = 2x^2 - 5x + 6

• f(x) = -2x^2 + 5x + 6