Exponential and Logistic Functions Practice

The graph shown is what kind of function?

• Rational Function

• Exponential Function

• Quadratic Function

• Logistic Function

Which of the following could be used to model the spread of a disease? (Select two.)

• Rational Functions

• Exponential Functions

• Quadratic Functions

• Logistic Functions

Which of the following can have horizontal asymptotes? (Select as many as needed.)

• Rational Functions

• Exponential Functions

• Quadratic Functions

• Logistic Functions

Evaluate the exponential function

f(x) = 3^x ; x = - 2

• -81

• -9

• 1/9

• -1/81

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

Which of the following is an exponential decay model?

• y = 3 * (1/2)^x

• y = 1/2 * (3)^x

• y = -2 * (2)^x

• y = -3 * (3/2)^x

Does the graph represent an exponential growth or an exponential decay function?

• Exponential Growth

• Exponential Decay

What does the y-intercept of the graph represent?

• The amount of grams the material is gaining.

• The amount of grams the material is losing.

• The amount of grams remaining after so many years.

• The initial amount of grams.

Which of the following is an increasing exponential function whose y-intercept is 50?

• y = 50(.05)^x

• y = 50x - 4

• y = (2)^x + 50

• y = 50(1.4)^x

The amount of ants in a colony, f, that is decaying can be modeled by                      f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

• 87%

• 13%

• 800%

• 8.7%