Rate of Change for Exponential Functions

What is the average rate of change for the function on the interval [0, 2]. (Hint: the 0 and the 2 in the interval are each x₁ and x_2.)

• m = 3/2

• m = 2

• m = -2

• m = 2/3

What is the average rate of change over the interval [0, 1]?

• m = 2

• m = 1/2

• m = 0

• m = 1

What is the average rate of change of the two graphs over the interval [2, 4]?

• m = 2/12

• m = 1/6

• m = 6

• m = 12

What is the average rate of change over the interval [-2, 1]?

• m = 0

• m = 2

• m = 0.857...

• m = -1.16666...

• A/F
• B/G
• C/H
• D/J

The number of grams, y, of a radioactive element that remains after t hours can be modeled by the equation y=2.45(0.84)^t. What is the rate of increase or decrease of this radioactive element?

• 16% increase per hour

• 84% increase per hour

• 84% decrease per hour

• 16% decrease per hour

In an exponential function, what does the 'b' represent?

• Input

• Rate of change

• Y-intercept

• Output

Which equation is represented by the table?

• y = 40(2)^x

• y = 40(1/2)^x

• y = 40 - 2x

• y = 40 - 1/2x

Write the function for the following table:

• f(x) = 5x + .08

• f(x)= 5x + 2

• f(x) = .08(5)^x

• f(x)= 2(5)^x

Write an equations that models the data shown.