1. Exponential Functions
Coordinate Algebra
Unit 3
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2. Warm up: Monday, 1/14/2013
In their Interactive Notebooks, students will create a Thinking map – Circle Map
Topic: Exponential functions
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3. Standard(s) & Essential Questions:
MCC912.F.IF.7e: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
EQ: How do I identify the x-intercept, y-intercept and the asymptote of an exponential function?
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4. Do you see a pattern?
Looking at the table, where is the y – intercept and the x – intercept?
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5. 01/14/2013

6. Answer the following questions:
Where does the graph of y = 2x cross the y-axis? That is, find the y- intercept.
Where does the graph of y = 2x cross the x-axis? That is, find the x- intercept(s).
Note: The function has a solution when its graph crosses the x- axis.
What is the rate of change over the interval [0,16]
State the Domain
State the Range
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7. Asymptote:
Define: a line that a graph approaches more and more closely as it move toward infinity, but it never touches that line.
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8. Work Period:
Students will work in pairs to graph the following functions and identify the x-intercepts, y-intercepts, and asymptote. Then state the domain and range.
f(x) = 4x
f(x) = 2x – 1
f(x) = -3(2x) + 5
f(x) = (½)x
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9. Closing: Learning Frame
Students will write a summarize of what they have learned during today’s task by explaining in their own words what each of these terms (x-intercept, y-intercept, asymptote, domain and range) mean and how they are identified by looking a the graph of and exponential function.
Today, I learned about ________________________ with my class. The first thing we learned was ________________________________________________. Next, _______________________________________________________. Then, _______________________________________________________. After that, ___________________________________________________. I also learned that ______________________________________________. The next time we study _______________________, I want to learn more about _____________________________________________________________ .
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10. Homework:
Graph each of the following exponential function on the same coordinate plane and identify the changes you observe in each graph. Use a different color for each function and label:
f(x) = 2x
g(x) = 2x + 1
h(x) = 2x – 3
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