Comparing Exponential, Linear, and Quadratic Growth Quiz

The graph below shows a linear function and an exponential function. What is the minimum y-value after which the exponential function will always be greater than the linear function? y = 1 y = 3 y = 4 y = 5

C

From x = 0 to x = 2, which of the following best describes the growth of the two functions below?

A

The graph below shows an exponential function and a quadratic function. How do the functions compare over the interval 0<=X<=1 The exponential grows at approximately half the rate of the quadratic. The exponential grows at approximately the same rate as the quadratic. The exponential grows at approximately twice the rate of the quadratic. The exponential grows at approximately four times the rate of the quadratic.

A

For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval 0<=X<=5

C

The graphs of the quadratic function mc010-1.jpg and the exponential function mc010-2.jpg are shown below. mc010-3.jpg Considering only the domain shown on the graph, over which interval is the value of the exponential function greater than the value of the quadratic function?

C

The table below represents an exponential function. How do the y-values in the table grow? The y-values increase by a factor of 49 for each x increase of 1. The y-values increase by 49 for each x increase of 1. The y-values increase by a factor of 7 for each x increase of 1. The y-values increase by 7 for each x increase of 1.

C

An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the functions over the interval 0<=X<=1? The exponential grows at half the rate of the quadratic. The exponential grows at the same rate as the quadratic. The exponential grows at twice the rate of the quadratic. The exponential grows at four times the rate of the quadratic.

B

Which of the following describes the function shown in the table below?

B

A linear function and an exponential function are shown below. mc004-1.jpg Over which interval does the growth rate of the exponential function exceed the growth rate of the linear function?

D

A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval -2<=X<=0 The exponential function decays at one-half the rate of the quadratic function. The exponential function decays at the same rate as the quadratic function. The exponential function decays at two-thirds the rate of the quadratic function. The exponential function decays at three-fourths the rate of the quadratic function.

D

Consider the quadratic function shown in the table below. Which exponential function grows at a faster rate than the quadratic function for 0<X<3

D

The graph below shows the exponential function mc005-1.jpg and the linear function mc005-2.jpg. mc005-3.jpg What is the minimum y-value after which the exponential function will always be greater than the linear function?

D

The graph below shows the graphs of the linear function Y=7X and the exponential function mc008-2.jpg. Which statement is true?

D

Which statement best describes the growth rates of the functions below?

D