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WorksheetsExponential and Logarithmic
Total questions: 21
Worksheet time: 54mins
y=2x+3−1
Choose the correct answer for the exponential function.
HA: y=-1
y-int: (0,7)
(-3,0)
HA: y=3
y-int: (7,9)
(-3,0)
HA: y=-4
y-int: (1,6)
(-5,3)
HA: y=7
y-int: (8,2)
(7,1)
In 1990, the population of New York State was 7.99 million. The population grows at a rate of 2.3%. When will New York's population reach 15 million people?
50 years
20 years
27 years
79 years
Sam opened a bank account with an interest rate of 4.8% that is compounded annually. He invested $3,890 in the account in 1999 but had to make a withdrawal from his account in 2007 in the amount of $2,300 with no penalty. How much money is in his account now, in 2016?
$700.5
$5124.26
$109.9
$5245.64
Which graph best represents the following logarithmic function?
y=log4x
Identify which functions are exponential.
f(x) = 2x - 5
g(x) = 3x
k(x) = 3x4 - 6x + 9
What does the a represent in the equation
f(x)=a(b)xSlope
Y-intercept
Rate of Change
Common ratio
Does the equation represent an exponential function?
Yes
No
log381
log636 = 2
A substance decays 22% each day. After 7 days, there are 9 milligrams of the substance remaining. How many milligrams were there initially?
51mg
51.8mg
51.4mg
51.2mg
Which graph best represents the following logarithmic function?
y=log2x
This is an example of:
Linear Growth
Linear Decay
Exponential Growth
Exponential Decay
Select all the transformations that apply.
y = -2 log 1/2 x
Vertical stretch by 2
Vertical shrink by 1/2
Reflection across the y-axis
Reflection across the x-axis
The asymptote of y = log2x + 1 will shift...
right one to x = 1
left one to x = -1
not shift at all and remain x = 0
Describe the transformations of f(x)= -log2(x+1)
left one & y-axis reflection
right one & y-axis reflection
left one & x-axis reflection
right one & x-axis reflection
