Graphing Exponential Functions
The parent function of an exponential function.
What is f(x)=a^x ?
The parent function of a logarithmic function.
What is f(x)=log(x) ?
The base of a "common" log.
What is base 10?
Solve for x
log_9(81)=x
What is x=2?
Rewrite 2^(2x+1)=8^x with the same bases.
What is 2^(2x+1)=2^(3x) ?
Classify the following as either growth or decay
f(x)=2(0.5)^x
What is "a decay function?"
The vertical asymptote of f(x)=log2x+1
What is x=0?
8^x=64 in logarithmic form
What is log_8(64)=x ?
Use the change of base property to approximate log_2(78)
What is 6.2854?
Solve log_2(9m+2)=7
What is m=14?
The horizontal asymptote of f(x)=3(5)^x+1
What is y = 1?
The range of a logarithm parent function.
What is (-oo,oo)?
log54=2x in exponential form
What is
10^(2x)=54
Solve
2^(x+2)=2^5
What is x=3?
Solve
2^(x-4)=32
What is x=9?
The domain of f(x)=0.8(1.3)^(x-1)+8
What is (-oo,oo)?
Solve for x log5((1)/(25))=x
What is x=-2?
Solve log_x(7)=1/2
What is x=49?
Solve log_4(5x+7)=log_4(2x+31)
What is x=8?