Understanding Function Notation

The video tutorial introduces function notation, explaining how it represents the relationship between inputs and outputs in a function. It covers examples using investment values, ordered pairs, tables, and graphs to illustrate how to interpret and convert between different representations of functions. The tutorial emphasizes understanding the notation and its application in various contexts.

What does function notation help us understand about a relation?

• The relation between two outputs

• The output as a function of the input

• The relation between two inputs

• The input as a function of the output

In function notation, what does the letter inside the parentheses represent?

• The function value

• The input

• The function name

• The output

In the investment example, what does V of 36 = 17.4 represent?

• The investment value after 36 years

• The investment value after 36 months in thousands of dollars

• The investment value after 36 months in dollars

• The investment value after 36 days

How do you convert an ordered pair (2, 3) into function notation?

• F of 3 equals 2

• F of 3 equals 5

• F of 2 equals 3

• F of 2 equals 5

If the ordered pair is (-4, 6), what is the function notation?

• F of -6 equals 4

• F of -4 equals 6

• F of 6 equals -4

• F of 4 equals -6

In a table representation, if B of 12 equals 50, what does 12 represent?

• The input value

• The table value

• The function value

• The output value

What is the input when B of T equals 18?

• T equals 12

• T equals 18

• T equals 31

• T equals 50

On a graph, if G of 2 equals 3, what are the coordinates of the point?

• (2, 3)

• (3, 2)

• (0, 4)

• (4, 0)

If the output is 4 on a graph, what is the input?

• Input is 6

• Input is 4

• Input is 2

• Input is 0

What is the ordered pair when G of 6 equals 1?

• (0, 4)

• (4, 0)

• (6, 1)

• (1, 6)