CH 4.1 Graph Exponential and Growth Functions.notebook
CH 4.1 Graph Exponential and Growth Functions.notebook
Graph Exponential and Growth Functions 4.1 Graph Exponential Growth Functions • Exponential growth
December 06, 2012
Graph Exponential and Growth Functions
An exponential function has the variable as the exponent.
• Compound interest • Growth factor • Asymptote
a = initial condition (starting point) b = growth factor with b > 1 , b can be less than one and we will see this in CH 4.2 x = the variable, frequently in word problems, it stands for time, and the variable t is frequently used.
Nov 2810:59 AM
Graph Exponential and Growth Functions
Nov 2810:59 AM
Graph Exponential and Growth Functions
Properties of Parent Exponential Functions
Properties of Parent Exponential Functions
1.
The domain of each function is the set of real numbers
4.
2.
The range of each function is the set of positive real numbers
The graph never crosses the xaxis. The parent exponential curve has no xintercepts.
5.
3.
The yintercept of each graph is a.
In one of two quadrants, the graph gets closer and closer to the xaxis, but never touches it. The xaxis is an asymptote of the graph.
Nov 2810:59 AM
Graph Exponential and Growth Functions
Nov 2810:59 AM
Graph Exponential and Growth Functions
Properties of Parent Exponential Functions 6.
When the constant growth factor b, is greater than one, as x increases, the value of the function increases. If 0
Graph Exponential and Growth Functions 4.1 Graph Exponential Growth Functions • Exponential growth
December 06, 2012
Graph Exponential and Growth Functions
An exponential function has the variable as the exponent.
• Compound interest • Growth factor • Asymptote
a = initial condition (starting point) b = growth factor with b > 1 , b can be less than one and we will see this in CH 4.2 x = the variable, frequently in word problems, it stands for time, and the variable t is frequently used.
Nov 2810:59 AM
Graph Exponential and Growth Functions
Nov 2810:59 AM
Graph Exponential and Growth Functions
Properties of Parent Exponential Functions
Properties of Parent Exponential Functions
1.
The domain of each function is the set of real numbers
4.
2.
The range of each function is the set of positive real numbers
The graph never crosses the xaxis. The parent exponential curve has no xintercepts.
5.
3.
The yintercept of each graph is a.
In one of two quadrants, the graph gets closer and closer to the xaxis, but never touches it. The xaxis is an asymptote of the graph.
Nov 2810:59 AM
Graph Exponential and Growth Functions
Nov 2810:59 AM
Graph Exponential and Growth Functions
Properties of Parent Exponential Functions 6.
When the constant growth factor b, is greater than one, as x increases, the value of the function increases. If 0
