Defining a Function

• 6

• 2

• -2

• -4

A set of ordered pairs is shown below. Choose a value for k that would make the set a function. If you need to make a table!!

{(1, 2), (3, 2), (k, 7), (4, -5)}

A. 1

B. -9

C. 3

D. 4

Points are shown plotted on the coordinate plane. The points represent the relation, where x is the input and y is the output. Explain whether or not the set of points represents a function,

If a function is defined as f(x) = 2x + 3, find the value of f(4).

f(4) =

Which statement best explains whether these ordered pairs represent a function?

• The ordered pairs represent a function because no output values are repeated.

• The ordered pairs represent a function because each output value is greater than each input value.

• The ordered pairs do not represent a function because one input value has two different output values.

• The ordered pairs do not represent a function because the difference between the input and output of each ordered pair is not the same.

Complete the table. Using the rule: f(x) = x + 2

What is the value of g(5)? The function g(x) = 25 - x

Which ordered pairs should be removed to make the graph a function?

A. (-2, 4) and (11, -7)

B. (6, 5) and (6, 7)

C. (3, 3) and (6, 3)

D. (1, 1) and (6, 7)

Complete the table of values using the function (rule) y = -3x + 7. Use commas and spaces to separate the values. Example: 1, 2, 3, 4, 5

What are the two ways to identify a function?

• Check for repeating x values

• Check for repeating y values

• Check for matching ordered pairs

• Vertical line test