Understanding Function Notation and Evaluating Functions

This video tutorial teaches how to evaluate functions using specific input values. It explains that inputs can be numbers, expressions, or other functions, and provides examples for each type. The tutorial also clarifies common misunderstandings, such as confusing input values with output values and the misconception that inputs must always be numbers. By the end, viewers will understand how to evaluate functions with various inputs and avoid common errors.

What is the primary factor that determines a function's output?

• The function's name

• The number of variables

• The input value

• The function's complexity

If f(x) = -3x + 4, what is f(2)?

• 6

• 5

• 8

• 2

When evaluating f(x) = -3x + 4 with an input of x + 2, what is the resulting expression?

• -3x - 6

• -3x + 6

• -3x - 2

• -3x + 2

What is the output of f(g(x)) if f(x) = -3x + 4 and g(x) = 5x - 12?

• -15x - 40

• -15x + 40

• -15x - 36

• -15x + 36

What is a common misunderstanding when dealing with function inputs that are expressions?

• Assuming the output is zero

• Ignoring the input

• Trying to solve for x

• Thinking the input is a constant

How should f(200) = -3x + 4 be interpreted?

• 200 is the output value

• 200 is the input value

• 200 is a constant

• 200 is irrelevant

What happens when you input a function into another function?

• The input function is ignored

• The input function is subtracted from the output

• The input function replaces the variable in the outer function

• The input function is added to the output