AnswersCREDIT RE-SEAT MNPS Integrated Math III IC S1 26-27Comparing Exponential, Linear, and Quadratic Growth

Comparing Exponential, Linear, and Quadratic Growth Answers

12 verified answers2 views
1
Free Preview

Study this table. xy–3–2–2004412Which best describes the function represented by the data in the table?

A
linear with a common ratio of 2
B
linear with a common first difference of 2
C
quadratic with a common ratio of 2
D
quadratic with a common first difference of 2
2
Free Preview

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

Question illustration
A
grows slower than .
Option A
B
grows faster than .
Option B
C
grows at the same rate as .
Option C
D
grows over a different interval than .
Option D
3

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 ?

Question illustration
A
The exponential grows at half the rate of the quadratic.
B
The exponential grows at the same rate as the quadratic.
C
The exponential grows at twice the rate of the quadratic.
D
The exponential grows at four times the rate of the quadratic.
4

For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

The graphs of the quadratic function and the exponential function are shown below. 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?

Question illustration
A
mc010-4.jpg
Option A
B
mc010-5.jpg
Option B
C
mc010-6.jpg
Option C
D
mc010-7.jpg
Option D
6

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

Question illustration
A
mc004-2.jpg
Option A
B
mc004-3.jpg
Option B
C
mc004-4.jpg
Option C
D
mc004-5.jpg
Option D
7

For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Kwame is given the graph below.Which of the following best describes the graph?

Question illustration
A
a quadratic equation with differences of 1, then 2, then 4, ...
B
an exponential function with a growth factor of 2
C
a quadratic function with a constant difference of 2
D
an exponential function with growth factors of 1, then 2, then 4, ...
9

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?

Question illustration
A
y = 1
B
y = 3
C
y = 4
D
y = 5
10

Study the table. xy–28–12001228Which best describes the function represented by the data in the table?

A
linear with a common ratio of 4
B
linear with a common second difference of 4
C
quadratic with a common ratio of 4
D
quadratic with a common second difference of 4
11

The graph below shows the graphs of the linear function and the exponential function . Which statement is true?

Question illustration
A
The growth rate of the exponential function exceeds the growth rate of the linear function for .
Option A
B
The growth rate of the exponential function exceeds the growth rate of the linear function for .
Option B
C
The growth rate of the exponential function exceeds the growth rate of the linear function for .
Option C
D
The growth rate of the exponential function exceeds the growth rate of the linear function for .
Option D
12

A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval ?

Question illustration
A
The exponential function decays at one-half the rate of the quadratic function.
B
The exponential function decays at the same rate as the quadratic function.
C
The exponential function decays at two-thirds the rate of the quadratic function.
D
The exponential function decays at three-fourths the rate of the quadratic function.
13

For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval ?

Question illustration
A
mc015-2.jpg
Option A
B
mc015-3.jpg
Option B
C
mc015-4.jpg
Option C
D
mc015-5.jpg
Option D
14

The table below represents an exponential function.xy0124942,4016117,649How do the y-values in the table grow?

A
The y-values increase by a factor of 49 for each x increase of 1.
B
The y-values increase by 49 for each x increase of 1.
C
The y-values increase by a factor of 7 for each x increase of 1.
D
The y-values increase by 7 for each x increase of 1.
15

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

Question illustration
A
y = 1
B
y = 2
C
y = 3
D
y = 4
16

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

Question illustration
A
y = 1
B
y = 2
C
y = 3
D
y = 4
17

Which of the following describes the function shown in the table below?xy-416-1220.2540.062550.03125

A
exponential, there is a continual rate of growth
B
exponential, there is a continual rate of decay or decrease
C
quadratic, there is a second degree change in the y-values
D
quadratic, there is a constant difference between consecutive y-values
18

Kwame is given the graph below.Which of the following best describes the graph?

Question illustration
A
a quadratic equation with differences of 1, then 2, then 4, ...
B
an exponential function with a growth factor of 2
C
a quadratic function with a constant difference of 2
D
an exponential function with growth factors of 1, then 2, then 4, ...
19

Consider the quadratic function shown in the table below.xy0013212327Which exponential function grows at a faster rate than the quadratic function for ?

Question illustration
A
mc013-2.jpg
Option A
B
mc013-3.jpg
Option B
C
mc013-4.jpg
Option C
D
mc013-5.jpg
Option D
20

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?

Question illustration
A
y = 1
B
y = 3
C
y = 4
D
y = 5

Did you find these answers helpful?

More from this Course

Quiz
18 verified answers

Unknown Leg Lengths in Right Triangles

Quiz
17 verified answers

Comparing Exponential, Linear, and Quadratic Growth

Quiz
8 verified answers

Comparing Exponential, Linear, and Quadratic Growth