What is the form of an exponential function?
An exponential function has the form with positive base .
When does represent exponential growth?
It represents exponential growth when and .
What is the domain of the graph of ?
All real numbers.
How does behave as x approaches negative infinity?
It approaches 0.
Exponential function symbol
f(x)=b^x, with b > 0
Growth condition on b
b > 1 for growth, 0<b<1 for decay
Graph of f(x)=2^x
Domain all reals; y-intercept (0,1); asymptote y=0
Asymptote of exponential graphs
Horizontal line y=0
Transform formula
Order of transformations
Reflect/scale, shift h, then shift k
Exponential growth model formula
A(t)=a(1+r)^t
Answer 10 questions on Graphing Exponential Functions.
1. Which expression defines an exponential function in which the variable appears as an exponent?
2. For , which condition on the positive base indicates exponential decay?
Go over the full study guide for Graphing Exponential Functions.
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