WorksheetsExponential Functions and Sequences Review
Total questions: 15
Worksheet time: 15mins
Identify the growth factor (multiplier) of the function f(x)=2(4)x.
2
4
(2)x
8
Find the equation given the table.
y=3x+3
y=3(2)x
y=2(3)x
y=2x+3
Choose all the equations that are exponential:
y = 6x -5
y = 8x - 9
f(x) = 3x2 + 4
y = 1/3x
y = 7x3
What kind of sequence is illustrated below?
400, 200, 100, 50, 25, ...
Arithmetic
Geometric
Neither
What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?
Arithmetic
Geometric
Neither
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?
y = 58(1.04)x
79 shirts
y = 58(1.04)x-1
76 shirts
y = 58(1.4)x
611 shirts
y = 58(1.4)x-1
856 shirts
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?
The academy grows at a rate of 0.1.
The initial enrollment at the academy was 3,400 students
The academy is decreasing by a factor of 1.1
None of these statements are true
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?
(18500,0)
0.85
y=0
(0,18500)
1.85
y=0
(0,18500)
0.85
x=0
(0,18500)
0.85
y=0
Which equation could be used to represent this function, and what is the equation of its asymptote?
y = 1(3)x - 4
y = -4
y = -3(3)x - 4
y = -4
y = 1(3)x - 4
x = 3
y = -3(3)x - 4
x = 3
What is the 5th term of the geometric sequence
f(1) = 128, f(n) = 0.75 f(n-1)
54
8
40.5
30.375
What is the x and y intercept of this function?
f(x) = 3.5(3)x
No x intercept
y = 3
x = 10.5
y = 3.5
No x intercept
y = 3.5
No x or y intercept
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?
$12,225
$160
$10,521
$130
Which of the following graphs represents the exponential function f(x) = -3(2)x
What type of function is y = 7(5/4)x?
Exponential Growth
Exponential Decay
Linear
None of the above
What is the Domain of this exponential function?
y=1
x=0
All Real Numbers
x>0
