Module 10: Lesson 10.2 Graphing Exponential Functions

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Presentation transcript:

Module 10: Lesson 10.2 Graphing Exponential Functions Exponential Growth vs. Exponential Decay

a = coefficient b = base Exponential Growth occurs when the base (b) is greater than 1 and x is positive. Exponential Decay occurs when the base (b) is less than 1 and x is positive. Domain: ( -∞, +∞) Range: (0, ∞) (If a > 0) Range (-∞, 0) (If a < 0)

Make an x/y table and select a value for x that makes the exponent zero. Pick 2 x-values to the right and left of the x-value above for the x/y table. What is the base and coefficient of each? How does the coefficient of each function affect the graph? Positive/negative? What do you notice when the base is greater than 1 and when the base is less than 1? Predict the y-intercept for each. What is the domain, range and end behavior for each?

Describe the similarities/differences of each graph and then graph. Identify the parent function Describe the transformation relative to the parent function. Graph both the parent function and the transformation. Describe the domain, range, and end behavior.

Identify the parent function Describe the transformation relative to the parent function. Graph both the parent function and the transformation. Describe the domain, range, and end behavior.