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8.2 Graphs and Key Features of Exponential functions (plickers).notebookFebruary 06, 2018
8.2 Notes: Graphs and Key Featuresof Exponential Functions
Warm Up:1. Graph: 2. Sketch:
8.2 Graphs and Key Features of Exponential functions (plickers).notebookFebruary 06, 2018
Increasing intervals – ____________________________________
Decreasing intervals – ___________________________________
Domain – _____________________________________________
Range – _______________________________________________
yintercept – ___________________________________________
average rate of change – ________________________________
________________________________
or
describes when the function is going up.
describes when the function is going down.
The set of all possible xvalues of a function.
The set of all possible yvalues of a function.
the point where the function crosses the yaxis.the rate of change (or slope) between
any two points on a function.
8.2 Graphs and Key Features of Exponential functions (plickers).notebookFebruary 06, 2018
1. Use the function below to create a table of values and graph. Round to the nearest tenth.
x 1 0 1 2 3y
Identify key features of the function.
Is the function increasing or decreasing?
What is the domain of the function?
What is the range of the function?
What is the yintercept of the function?
8.2 Graphs and Key Features of Exponential functions (plickers).notebookFebruary 06, 2018
2. Use the function below to create a table of values and graph. Round to the nearest tenth.
x 1 0 1 2y
Is the function increasing or decreasing?
What is the domain of the function?
What is the range of the function?
What is the yintercept of the function?
8.2 Graphs and Key Features of Exponential functions (plickers).notebookFebruary 06, 2018
3.
Identify key features of the function.
Is the function increasing or decreasing?
What is the domain of the function?
What is the range of the function?
What is the yintercept of the function?
8.2 Graphs and Key Features of Exponential functions (plickers).notebookFebruary 06, 2018
4.
Identify key features of the function.
Is the function (A)increasing or (B)decreasing?
8.2 Graphs and Key Features of Exponential functions (plickers).notebookFebruary 06, 2018
4.
Identify key features of the function.
What is the domain of the function?A. (0, 1) B.
C. D.
8.2 Graphs and Key Features of Exponential functions (plickers).notebookFebruary 06, 2018
4.
Identify key features of the function.
What is the range of the function?A. (0, 1) B.
C. D.
8.2 Graphs and Key Features of Exponential functions (plickers).notebookFebruary 06, 2018
4.
Identify key features of the function.
What is the yintercept of the function?A. (0, 1) B. (0, 1)
C. (1, 0) D. (1, 0)
8.2 Graphs and Key Features of Exponential functions (plickers).notebookFebruary 06, 2018
The general form of an exponential function is
where a is the initial amount (0, a) and b is the constant multiplier.
Changing the value of a and b will transform the graph of the original function.
5. Circle all the functions below that have a yintercept of 2.
8.2 Graphs and Key Features of Exponential functions (plickers).notebookFebruary 06, 2018
6. Circle all the functions below that show exponential growth.
8.2 Graphs and Key Features of Exponential functions (plickers).notebookFebruary 06, 2018
7. Circle all the functions below that show exponential decay.
8.2 Graphs and Key Features of Exponential functions (plickers).notebookFebruary 06, 2018
8. What is the rate of change from f(2) to f(4)?
9. Explain what the point (10, 3820) means in context of the situation.
8.2 Graphs and Key Features of Exponential functions (plickers).notebookFebruary 06, 2018
10. A scientist discovered a new strain of bacteria. The bacteria culture initially contained 10 bacteria and the bacteria are doubling every week. The graph below shows this data.
a) What is the average rate of change from week 2 to week 3?
b) Explain what the point (1, 20) means given the context of this question.
8.2 Graphs and Key Features of Exponential functions (plickers).notebookFebruary 06, 2018
