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GRAPHING INVERSE EXPONENTIAL FUNCTIONS WORKSHEET
Logarithmic Functions are of the form f ( x)  a logb ( x  h)  k
Exponential Functions are of the form f ( x)  a  b( xh)  k
The parent function for logs is the simple log function, f ( x)  logb x
The parent function for exponentials is the simple function, f ( x)  b x
The log function, f ( x)  logb x, is the inverse
of the exponential function, f ( x)  b x .
These parent functions can be stretched, shifted and flipped
similarly to other functions we have studied.
a : The vertical stretch or flip.
h : The horizontal translation
k : The vertical shift.
Complete the following tables and graph each function.
f ( x)  log 2 x
f ( x)  2x
1.
x
2x
y
x
0
1
1
2
-1
4
2
8
-2
½
3
¼
log2 x
y
Notice the x-values from the tables above are convenient values to use for these specific
functions. Find convenient x-values to graph the functions on the back of this page.
2.
f (x)
3x
f (x)
log3 x
3.
f (x)
1 x
2
2
f (x)
1
log 2 x
2
4.
f (x)
3x
f (x)
log3 x