Evaluating Functions: Introduction to Function Notation

This video tutorial teaches how to evaluate functions using function notation by substituting specific domain values. It explains the concept of a function as a relation where each X value corresponds to one Y value. The video demonstrates how to determine if a relation is a function using the vertical line test and provides examples of evaluating functions with different domain values. Common misunderstandings about function notation are addressed, emphasizing that F of X does not equal X. The tutorial concludes with a summary of the key points covered.

What is a function in terms of relations?

• A relation where each input has multiple outputs

• A relation where each input has a unique output

• A relation with no inputs

• A relation where outputs are not related to inputs

How can you determine if a relation is a function using a graph?

• By counting the number of points on the graph

• By using the vertical line test

• By using the horizontal line test

• By checking if the graph is a straight line

What does function notation represent?

• A way to graph functions

• A method to solve equations

• A technique to find the domain

• A rule that relates the domain to the range

What is a common mistake when substituting values into a function?

• Forgetting to add constants

• Multiplying instead of adding

• Using the wrong variable

• Assuming F(x) equals x

For the function F(x) = 3x + 2, what is F(1)?

• 6

• 4

• 5

• 3

What is the value of F(x) when x is 3 for the function F(x) = 3x + 2?

• 10

• 11

• 9

• 12

If F(x) = 17, what is the value of x for the function F(x) = 3x + 2?

• 4

• 5

• 6

• 7