Modeling Functions

Last summer, Carmelo started mowing lawns in the neighborhood to earn some money to pay for his graduation party. He mowed three lawns on Day 1 and five lawns every day after that. Which function models the total number of lawns, m(d), Carmelo has mowed after d days?

Which representations are functions?

• I only

• I and IV, only

• II and III only

• II, III, and IV

Which ordered pair would result in a relation that is not a function if included in the table?

• Dr. León's usual charge for a 20-min session is $35.

• Dr. León charges a $45 flat fee for making the house call during the holidays.

• Dr. León charges $35 per 20-min session worked during the holidays.

• Dr. León usually charges a $26 flat fee for making the house call.

• Dr. León drops his house call flat fee by $15 during the holidays.

• The graph shifts  $r$  units up.

• The graph shifts  $r$  units right.

• The graph shifts  $r$  units left.

• 2

• 2.3

• 5

• 7.1

• 10

Which of the following statements accurately describes the mapping diagram below?

• This diagram is not a function because 7 is used twice.

• This diagram is a function, since no domain values are repeated.

• This diagram is not a function because there are too many domain values.

• This diagram is not a function because there aren’t enough range values.

Russell made a graph for a project which shows the relationship between the time in seconds, x, that a football is in the air after it is thrown and the number of feet, f(x), the football travels. Which of the following is the most appropriate domain for Russell's graph?