AnswersCA-Mathematics IExponential Growth Functions

Exponential Growth Functions Answers

14 verified answers2 views
1
Free Preview

Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?

A
On a coordinate plane, the point (0, 3) is graphed.
Option A
B
On a coordinate plane, the point (0, 4) is graphed.
Option B
C
On a coordinate plane, the point (3, 0) is graphed.
Option C
D
On a coordinate plane, the point (4, 0) is graphed.
Option D
2
Free Preview

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.

Question illustration
A
The domain includes all integers, and the range is y ≥ 0.
B
The domain includes all integers, and the range is y > 0.
C
The domain includes all real numbers, and the range is y ≥ 0.
D
The domain includes all real numbers, and the range is y > 0.
3

The value of a collector’s item is expected to increase exponentially each year. The item is purchased for $500 and its value increases at a rate of 5% per year. Find the value of the item after 4 years.

A
$578.81
B
$607.75
C
$1687.50
D
$2531.25
4

After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year and an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.)

A
y = 32,000(1.08)x
B
y = 32,000(0.08)x
C
y = 34,560(1.08)x
D
y = 34,560(0.08)x
5

Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in Josiah’s account, y, after x years?

A
y = 360(1.3)x
B
y = 360(0.3)x
C
y = 360(0.03)x
D
y = 360(1.03)x
6

A function of the form f(x) = abx is modified so that the b value remains the same but the a value is increased by 2. How do the domain and range of the new function compare to the domain and range of the original function? Check all that apply.The range stays the same. The range becomes y > 2.The domain stays the same. The domain becomes x > 2.The range becomes y ≥ 2.The domain becomes x ≥ 2.

A
The range stays the same.
B
The range becomes y > 2.
C
The domain stays the same.
D
The domain becomes x > 2.
E
The range becomes y ≥ 2.
F
The domain becomes x ≥ 2.
7

On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (negative 1, 0.8), (0, 2), (1, 5), (2, 12.5).

Question illustration
A
2.00
B
2.50
C
5.25
D
10.50
8

Which is the graph of f(x) = 0.5(4)x?

A
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 1), (2, 8), (3, 32).
Option A
B
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 4), (1, 16), (2, 64).
Option B
C
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 1), (3, 8), (4, 16).
Option C
D
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 1), (1, 8), (2, 32).
Option D
9

Which is the graph of f(x) = 5(2)x?

A
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 5) and (2, 20).
Option A
B
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 2) and (2, 50).
Option B
C
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 2) and (2, 10).
Option C
D
On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (0, 5) and (2, 10).
Option D
10

Which statements could he include in his explanation? Select two options.

A
The domain of both functions is all real numbers.
B
The domain of f(x) is x > 5.
C
The domain of g(x) is x > 5.
D
The range of f(x) is y > 0.
E
The range of g(x) is y > 0.
11

A collector’s item is purchased for $150 and its value increases by 3% each year. Which graph can be used to determine approximately how many years it will take for the value to double?

A
Option
B
Option
C
Option
D
Option
12

A 2-column table has 5 rows. The first column is labeled x with entries negative 1, 0, 1, 2, 3. The second column is labeled y with entries one-tenth, one-half, five-halves, StartFraction 25 Over 2 EndFraction, StartFraction 125 Over 2 EndFraction

Question illustration
A
Twelve-fifths
Option A
B
5
C
StartFraction 25 Over 2 EndFraction
Option C
D
25
13

An account with a $250 balance accrues 2% annually. If no deposits or withdrawals are made, which graph can be used to determine approximately how many years will it take for the balance to be $282?

A
Option
B
Option
C
Option
D
Option
14

Which graph shows exponential growth?

A
On a coordinate plane, a parabola opens up with vertex at (0, 0).
Option A
B
On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up into quadrant 1.
Option B
C
On a coordinate plane, a straight line with positive slope crosses the y-axis at (negative 1, 0) and crosses the y-axis at (2, 0).
Option C
D
On a coordinate plane a curve opens down and to the right in quadrants 1 and 4. It crosses the x-axis at (1, 0).
Option D
15

Several ordered pairs from a continuous exponential function are shown in the table.

Question illustration
A
The domain is the set of integers, and the range is y > 4.
B
The domain is the set of integers, and the range is y > 0.
C
The domain is the set of real numbers, and the range is y > 0.
D
The domain is the set of real numbers, and the range is y > 4.

Did you find these answers helpful?

More from this Course

Quiz
35 verified answers

Exponential Growth Functions

Quiz
15 verified answers

Exponential Growth Functions

Quiz
10 verified answers

Exponential Growth Functions