How to evaluate a quadratic function

The video tutorial explains how to evaluate a function by substituting input variables into the function's equation. It demonstrates this process with examples using F(-1) and F(1/3), highlighting the importance of obtaining unique outputs for each input to maintain the definition of a function. The tutorial emphasizes the concept of input-output relationships in functions and the necessity of consistent results for the same input.

What is the first step in evaluating a function at a specific input?

• Find the derivative of the function

• Simplify the function

• Graph the function

• Substitute the input variable into the function

When evaluating the function at x = -1, what is the result of 3 times (-1)^2?

• 3

• -3

• -1

• 1

What is the unique output of a function when the input is x = -1?

• 7

• 9

• 3

• 5

Why can't a function have two different outputs for the same input?

• It would not be a function

• It would be a linear function

• It would be a constant function

• It would be a quadratic function

What is the final step in evaluating a function after substituting the input variable?

• Simplify the expression

• Differentiate the function

• Integrate the function

• Graph the function