All About Functions

Which two functions have a graph that is a line?

• y = 3/x + 2

• y = 2x²– 9x

• y = –3^x

• y = 2x – 9

• y = –6x/7

Select all of the following equations which define linear functions.

• y = 3/5

• y = x² – 7

• y = 6 – 5x

• y = 9x

• y = 4/x + 1

Who has the greater rate of change?

• Tyler has the greater rate of change with 2/3

• Aubri has the greater rate of change with 3/2

• Tyler has the greater rate of change with 3/2

• They have the same rate of change.

For the function with the greatest rate of change, what is its value when x = 10?

• 13

• 17

• 25

• 28

The set of ordered pairs represents a relation.

{(0, 2), (1, 3), (1, 4), (2, 5), (3, 5)}

Which statement about the relation is true?

• The relation is a function.

• The relation is not a function, but removing (1, 3) and replacing it with (2, 6) would make the new relation a function.

• The relation is not a function, but removing (1, 4) and replacing it with (4, 1) would make the new relation a function.

• The relation is not a function, but removing (3, 5) and replacing it with (3, 6) would make the new relation a function.

A carpenter is building cabinets. For each cabinet, she needs 8 sets of supplies. At store A, each set of supplies costs $3.75. The total cost (y), in dollars, of the supplies she needs to buy at store A to build x cabinets is represented by the equation shown below.

y = 8(3.75x)

At store B, the total cost (y), in dollars, of the supplies she needs to buy to build x cabinets is represented by the graph shown.

The carpenter spends a total of $180 on supplies. To which store did the carpenter go for supplies, and how many cabinets can she build?

• The carpenter went to store A, and she can build 6 cabinets.

• The carpenter went to store A, and she can build 15 cabinets.

• The carpenter went to store B, and she can build 5 cabinets.

• The carpenter went to store B, and she can build 6 cabinets.

A linear function of x is graphed on a coordinate grid. The points (6, 34) and (18, 26) lie on the graph of the function. What are the rate of change of the function and the value of the function when x = 24?

Is this mapping a function or not a function? 

• Function

• Not a Function

Is this graph a function or not a function? 

• Function 

• Not a Function

Does the table represent a function?

• Yes, there  is a repeated x-value. 

• No, there aren't any repeated y-values. 

• Yes, there are repeated y-values. 

• No, there is a repeated x-value.