Comparing Linear Exponential Quadratic Functions Rate of Change

Who has the greater rate of change?

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

• 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.

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.

Who has the greater rate of change?

• Troy has the greater rate of change.

• Lucy has the greater rate of change 

• They have the same rate of change

Which function is exponential and decreasing?

• A

• B

• C

• D

Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x).

• g(x) rate of change is ALWAYS greater than f(x) rate of change.

• g(x) is NEVER greater than f(x) rate of change.

• g(x) will eventually exceed the rate of change of f(x).

• There is not enough information to compare the rate of change of f(x) to g(x).

CHOOSE THE CORRECT ANSWER.

• The rate of change of Function 1 is 2 times the rate of change of Function 2.

• The rate of change of Function 2 is 3 times the rate of change of Function 1.

• The rate of change of Function 1 is 4 more than the rate of change of Function 2.

• The rate of change of Function 2 is 6 less than the rate of change of Function 1.

Which of the following statements is true about the rates of change of the functions below? f(x) = 3x g(x) = 3^x

• For every unit x increases, both f(x) and g(x) triple in quantity

• For every unit x increases, f(x) and g(x) increase by 3 units

• For every unit x increases, f(x) triples in quantity and g(x) increases by 3 units

• For every unit x increases, g(x) triples in quantity and f(x) increases by 3 units

How would you describe the rate of change of these functions?

• Both functions have constant rate of change because they are exponential.

• Both functions have a variable rate of change because they are both exponential.

• A has a constant rate of change because it is linear and B has a variable rate of change because it's exponential

• A has a constant rate of change because it is quadratic and B has a variable rate of change because it's exponential

What is the rate of change of f(x) over the interval [0, 2]?

• -2

• 2

• 3/2

• 2/3

Which functions have a rate of change that is greater than the function shown in the graph? Select ALL that apply.