Evaluating Functions and Inputs

This video tutorial explains how to use function notation to evaluate functions with various input types, including numbers, expressions, and other functions. It clarifies common misunderstandings, such as the difference between input and output values, and emphasizes that input values can be more than just numbers. The tutorial provides examples of evaluating functions with different inputs and highlights the importance of treating function notation correctly.

What is the primary purpose of function notation?

• To simplify expressions

• To graph functions

• To represent relationships between inputs and outputs

• To solve equations

Which of the following can be an input value for a function?

• Only expressions

• Only numbers

• Only other functions

• Numbers, expressions, or other functions

If f(x) = -3x + 4, what is f(200)?

• -596

• 600

• 596

• -600

What is the output of f(x) = -3x + 4 when the input is 3?

• -7

• -9

• 7

• 9

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

• -3x + 2

• -3x - 6

• -3x - 2

• -3x + 6

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

• -15x - 36

• -15x - 40

• -15x + 40

• -15x + 36

How do you evaluate a function with another function as the input?

• By substituting the function into the expression

• By graphing both functions

• By ignoring the input function

• By solving for x

What is a common misunderstanding about f(200) = -3x + 4?

• It means 200 is the output

• It means 200 is the input

• It means x is 200

• It means the function is undefined

When the input is an expression, what is the goal?

• To graph the function

• To find the output value

• To generate another expression

• To solve for x

What should you remember when you see a function with an expression as the input?

• The expression is the function

• The expression is irrelevant

• The expression is the input

• The expression is the output