Quiz about Exponential Functions and Sequences Review

Question 1

Identify the growth factor (multiplier) of the function f(x)=2(4)^x.

Accepted Answer

4

Answer

2

Answer

(2)x

Answer

8

Question 2

Find the equation given the table.

Accepted Answer

y=3(2)x

Answer

y=3x+3

Answer

y=2(3)x

Answer

y=2x+3

Question 3

Choose all the equations that are exponential:

Accepted Answer

y = 1/3x

Accepted Answer

y = 8^x - 9

Answer

y = 6x -5

Answer

f(x) = 3x² + 4

Answer

y = 7x3

Question 4

What kind of sequence is illustrated below?
400, 200, 100, 50, 25, ...

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

Question 5

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

Question 6

A new store sold 58 shirts its first month in business and sold 4% more shirts each month after this for the 1st year. What is the equation and number of shirts this store sold in the 8th month?

Accepted Answer

y = 58(1.04)^x-1

76 shirts

Answer

y = 58(1.04)^x

79 shirts

Answer

y = 58(1.4)^x

611 shirts

Answer

y = 58(1.4)^x-1

856 shirts

Question 7

From 1990 to 2018 the number of students at MathIsGreat Academy can be measured by the function

S = 3,400(1.1)^x

Which statement about this function is true?

Accepted Answer

The initial enrollment at the academy was 3,400 students

Answer

The academy grows at a rate of 0.1.

Answer

The academy is decreasing by a factor of 1.1

Answer

None of these statements are true

Question 8

The value(v) of a car over time(t) is determined by the equation v=18500(.85)^t What is the y-intercept, common factor, and asymptote of this function?

Accepted Answer

(0,18500)

0.85

y=0

Answer

(18500,0)

0.85

y=0

Answer

(0,18500)

1.85

y=0

Answer

(0,18500)

0.85

x=0

Question 9

Which equation could be used to represent this function, and what is the equation of its asymptote?

Accepted Answer

y = 1(3)^x- 4

y = -4

Answer

y = -3(3)^x - 4

y = -4

Answer

y = 1(3)^x - 4

x = 3

Answer

y = -3(3)^x - 4

x = 3

Question 10

What is the 5th term of the geometric sequence

f(1) = 128, f(n) = 0.75 f(n-1)

Accepted Answer

40.5

Answer

54

Answer

8

Answer

30.375

Question 11

What is the x and y intercept of this function?

f(x) = 3.5(3)^x

Accepted Answer

No x intercept

y = 3.5

Answer

No x intercept

y = 3

Answer

x = 10.5

y = 3.5

Answer

No x or y intercept

Question 12

Jenn's brother put $6.75 into an account when she was born. The table above shows how much money was in the account at Jenn's age (x). Approximately how much money will be in her account when she is 50 if it continues to grow at the same compound rate?

Accepted Answer

$12,225

Answer

$160

Answer

$10,521

Answer

$130

Question 13

Which of the following graphs represents the exponential function f(x) = -3(2)^x

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 14

What type of function is y = 7(5/4)^x?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None of the above

Question 15

What is the Domain of this exponential function?

Accepted Answer

All Real Numbers

Answer

y=1

Answer

x=0

Answer

x>0

Exponential Functions and Sequences Review

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