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WorksheetsAlgebra 2 Chapter 7 Exponential and Logarithmic Functions
Total questions: 35
Worksheet time: 1hrs 2mins
Which behavior does the exponential function y = 4x describe?
exponential decay
exponential growth
What behavior does the exponential function y = (1/5)x describe?
Exponential Decay
Exponential Growth
For the function y = abx, which value for b represents exponential decay?
0 < b < 1
b > 1
For the function y = abx, which value for b represents exponential growth?
0 < b < 1
b > 1
What is the y-intercept of y = 3(4)x?
4
3
1
-3
What is the y-intercept of y = 5(3)x + 2
3
2
7
5
Using the formula: A(t) = a(1 + r)t
$1,562.50
$735.10
$1340.10
How does the graph of the given function compare to the graph of the parent function?
y=4(x+2)
Up 2 units
Down 2 units
Left 2 units
Right 2 units
How does the graph of the given function compare to the graph of the parent function?
y=5(0.25)x+5
Up 5 units, compressed by factor of 5
Up 5 units, stretched by factor of 5
Down 5 units, compressed by factor of 5
Down 5 units, stretched by a factor of 5
Identify the transformation performed on the parent function.
y=-(0.3)x-2
Reflect across y-axis and left 2 units
Reflect across x-axis and down 2 units
Reflect across x-axis and right 2 units
Reflect across y-axis and right 2 units
What is the logarithmic form of the following equation?
36=62
log366 = 2
log26 = 36
log62 = 36
log636 = 2
What is the logarithmic form of the following equation?
8/27=(2/3)3
log3(8/27) = 2/3
log3(2/3)= 8/27
log(2/3)3 = 8/27
log(2/3)(8/27) = 3
What is the value of log832?
5/3
3/5
3
5
What is the value of log28?
1/3
3
2
4
How does the graph of the given function compare to the parent function?
y=log5x+1
Moves 1 unit up
Moves 1 unit left
Moves 1 unit right
Moves 1 unit down
How does the graph of the given function compare to the parent function?
y=log4(x+2)
Moves 2 units down
Moves 2 unit right
Moves 2 units up
Moves 2 units left
Find the inverse of the given function.
y=log4x
y = 4x
x = 4y
y = x4
Find the inverse of the given function.
y=log22x
x = 2y
y = 1x
y = (2x)/2
y = 2
Find the inverse of the given function.
y=log(x+1)
y = 10x + 1
y = 10x - 1
y = 10x + 1
y = 10x + 1
Write the expression as a single logarithm.
log432-log42
2
log430
log416
4
Write the expression as a single logarithm.
log8-2log6+log3
log(2/3)
log(3/4)
log(-9)
log(1)
Expand the logarithm.
logx3y5
15log(xy)
3log(x) + 5log(y)
log(x3 + y5)
15xy
Expand the logarithm.
log5(r/s)
log5(r) - log5(s)
r(log5(s))
log5(r - s)
5log(r) - 5log(s)
Simplify the expression.
3
x + 1
-1
1
Solve the equation.
2x=8
4
2
5
3
Solve the equation.
25x+1=32
5
4/5
6/5
0
Solve the equation.
4x=19
x=log194
x=log419
19/4
4/19
Solve the equation.
92y=66
y=(log966)/2
y=log933
y=log366
y=-(log966)/2
Solve the equation.
log2x=-1
-1/2
5
0.1
0.05
Solve the equation.
2logx+log4=2
5
1/2
25
10
Simplify.
10logx
10
1
x
-1
Simplify.
log416x
2
2x
x
4x
Simplify.
eln5
e
ln5
1
5
Simplify
e-3 x e-8
1/e-11
1/e11
e-24
e11
Simplify.
28e3x/21e-x
28/21e4x
4/3e-4x
3/4e4x
4/3e4x
