Functions Comparing

Marion compared the y-intercept of the function, f(x), shown in the table, to the y-intercept of the function, g(x), on the graph.

What is the distance between the y-intercepts of f(x) and g(x)?

• 0 units

• 4 units

• 12 units

• 20 units

Jason compared the function f(x) = 20(1.2)^x to the function that fits the values in the table.

What is the distance between the y-intercepts of the two functions?

• 14

• 8

• 6

• 4

The function C(m) = 0.55m + 3.75 models the cost to take an m mile-long taxi ride from Quick Cabs. The table shows the cost to take a cab different distances from Get You There Cabs. Which statement is true about the two cab companies?

• Quick Cabs costs less per mile but has a higher fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile but has a lower fixed fee than Get You There Cabs.

• Quick Cabs costs less per mile and has a lower fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile and has a higher fixed fee than Get You There Cabs.

Allison compared the y-intercept of f(x)= 4 – 5x to the y-intercept of the function that fits the values in the table.

Which statement is true?

• The y-intercept of g(x) is half the y-intercept of f(x).

• The y-intercept of g(x) is two times the y-intercept of f(x).

• The y-intercept of g(x) is equal to the y-intercept of f(x).

• The y-intercept of g(x) is the negative value of the y-intercept of f(x).

Which statement is true about the function f(x) = 6x + 2 and the linear function that fits the values in the table?

• f(x) has the same slope as g(x).

• f(x) has the same y-intercept as g(x).

• f(x) has the same x-intercept as g(x).

• f(x) and g(x) are the same function.

How far is the y-intercept of the function that fits the values in the table, from the y-intercept of the function graphed?

• 1 unit

• 2 units

• 5 units

• 9 units

Kyle sells bags of popcorn at school events. The function P = 1.25b – 18 represents Kyle’s profit, where P stands for profit and b stands for the number of bags of popcorn sold. His brother Nathan sells bottles of fruit juice and has kept track of his daily sales and profit in the table. If Nathan’s profit is modeled linearly, which statement can be predicted from the two models?

• Kyle will have a higher profit than Nathan if they each sell 50 items.

• Kyle will have a higher profit than Nathan if they each sell 40 items.

• Kyle will have a higher profit than Nathan if they each sell 30 items.

• Kyle will have a higher profit than Nathan if they each sell 20 items.

Who has the greater rate of change (slope)?

• Troy has the greater rate of change.

• Lucy has the greater rate of change

• They have the same rate of change

Which of these tables represent a function?

• A

• B

• C

• D

Who has the greater rate of change?

• CJ has a greater rate of change with 6.5

• Holland has a greater rate of change with 6

• CJ has a greater rate of change with 2/13

• They have the same rate of change.