Evaluating and Understanding Functions

This video tutorial teaches how to evaluate functions using function notation by substituting specific domain values. It explains the difference between relations and functions, introduces function notation, and addresses common misunderstandings. The tutorial also demonstrates evaluating functions with specific x values and graphing ordered pairs to verify results.

What is a function in mathematical terms?

• A set of numbers with no specific relationship

• A random collection of ordered pairs

• A relation where each x value corresponds to exactly one y value

• A graph with multiple y values for each x value

Which of the following is true about function notation?

• It is a graphical representation of data

• It is only applicable to linear equations

• It shows the relationship between domain and range

• It is used to represent random equations

What mistake is commonly made when evaluating functions?

• Using incorrect graphing techniques

• Confusing x and y values

• Assuming f(x) equals x

• Ignoring the domain of the function

If f(x) = x + 2, what is f(1)?

• 1

• 4

• 2

• 3

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

• 5

• 6

• 8

• 10

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

• 9

• 15

• 11

• 13

For the function f(x) = 3x + 2, what is f(4)?

• 15

• 12

• 13

• 14

If f(x) = 3x + 2, what is x when f(x) = 17?

• 3

• 6

• 5

• 4

What ordered pair represents the solution when f(x) = 17 for f(x) = 3x + 2?

• (6, 17)

• (5, 17)

• (4, 17)

• (3, 17)

How do you isolate x in the equation 17 = 3x + 2?

• Divide both sides by 2

• Add 2 to both sides

• Multiply both sides by 3

• Subtract 2 from both sides and divide by 3