EXPONENT AND LOGARITHM WORKSHEET #3
Key Functions:
f ( x)  2 x
Exponential
f ( x)  2 x
I.
Write each function. Describe the change
to the graph. List the domain and range using
interval notation.
a)
y  2 x
b)
y  2 x 3
c)
y  2x  3
d)
y  2 x
*Label five ordered pairs on the function’s graph.
(Let ‘x = -1’ for one of the ordered pairs.)
*Use interval notation to list the functions:
Domain:
Range:
Is the function one-to-one? Y or N
List the intervals when the function is:
Increasing:
Decreasing:
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II.
EXPONENT AND LOGARITHM WORKSHEET #3
IV.
Write the function for each graph.
Simplify each expression. f ( x)  2 x
a)
f (4)
b)
f (3)
c)
f (3  h)  f (3)
h
III.
Solve each equation for all values of ‘x’.
a)
f ( x)  64
b)
f ( x)  8
c)
f ( x)  161
d)
f ( x)  g ( x) if g ( x)  47 x
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a)
b)
c)
Key Functions:
EXPONENT AND LOGARITHM WORKSHEET #3
I.
Write each function. Describe the change
f ( x)  Log2 x Logarithms
to the graph. List the domain and range using
interval notation.
f ( x)  2 x and f ( x)  log 2 x
*Label five ordered pairs on the exp and log
function’s graph. Use the exponential function to
assist with log function.
a)
y   log 2 x
b)
y  log 2 ( x  3)
c)
y  log 2 x  3
d)
y  log 2  x
*Use interval notation to list the exp function’s:
Domain:
Range:
Use interval notation to list the log function’s:
Domain:
Range:
List the intervals when the log function is:
Increasing:
Decreasing:
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EXPONENT AND LOGARITHM WORKSHEET #3
II.
f ( x)  log 2 ( x  2)
a)
Find the inverse of f ( x)
b)
Is f 1 ( x) proper notation for the inverse?
Explain using the concept of one-to-one
functions.
III.
a)
b)
c)
Graph f  x  and f 1  x  on same graph.
c)
d) Use the graph to estimate log 2 (5)
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Write the function for each graph.