Comparing Properties of Functions

Who has the greater rate of change?

• Smith has the greater rate of change with 5/4

• Harmon has the greater rate of change with 7/2

• Smith has the greater rate of change with 4/5

• They have the same rate of change.

Function A is represented by the table. Function B is represented by the equation y = 3x - 4. Which function has the greatest rate of change?

• Function A because it has a rate of change of 1/2 and Function B has a rate of change of 1/3.

• Function B because it has a rate of change of 3 and Function A has a rate of change of 2.

• Function B because it has a rate of change of -4 and Function A has a rate of change of -10.

• Function A because it has a rate of change of 10/7 and Function B has a rate of change of 3.

Which function has the greater rate of change?

• Function A because 4/3 is greater than 2.

• Function B because 1/2 is greater than 1/4.

• Function A because 4 is greater than 2.

• Neither. They both have a rate of change equal to 4.

Leonard compared the cost of purchasing a gallon of gas at two different gas stations. The function C(g) = 3.25 + 0.07x models the average cost of a gallon of gas at the first gas station after x months. The table below shows the average cost of a gallon of gas at the second gas station after different numbers of months. Which statement is true?

• The first station had a higher initial price per gallon and increased at a greater amount per month than the second station.

• The second station had a higher initial price per gallon and increased at a greater amount per month than the first station.

• The first station had a higher initial price per gallon but increased at a smaller amount per month than the second station.

• The second station had a higher initial price per gallon but increased at a smaller amount per month than the first station.

Which statement below is TRUE regarding the two functions?

• Both functions are linear

• Both functions are increasing

• Both functions have a y-intercept of 1

• Both functions are exponential growth

Which statement below is TRUE regarding the functions pictured?

• Both functions have a y-intercept of 3

• Both functions are increasing

• Both functions are linear

• Both functions have a MULTIPLYING pattern

Match the following

• Mapping

• A way to name a function that is defined by an equation. Replace "y" with "f(x)"

• Function

• A relation in which each element of the domain is paired with exactly one element of the range

• Vertical Line Test

• If any vertical line passes through the graph of a relation no more than once, then it is a function

• Function notation

• Illustrates how each element of the domain is paired with an element of the range

The picture ​ (a)   a function because every ​x ​ (b)   point to exactly one y.

• shows

• does not show

• does

• does not

A ​ ​ (a)   is when each ​ (b)   is paired with exactly one ​ (c)   .

• function

• input

• output

• positive association

• outlier

Who has the greater rate of change?

• Hunter has the greater rate of change.

• Casey has the greater rate of change 

• They have the same rate of change