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Graph Exponential Growth Functions

**You need graph paper**. Graph Exponential Growth Functions. 4.4 ( M2 ). 4.4-4.5 Quiz: Friday Computer Lab (C28): Monday. Vocabulary. An exponential function has the form y = ab x , where a ≠ 0 and the base b is a positive number other than 1.

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Graph Exponential Growth Functions

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  1. **You need graph paper** Graph Exponential Growth Functions 4.4 (M2) 4.4-4.5 Quiz: FridayComputer Lab (C28): Monday

  2. Vocabulary • An exponential function has the form y = abx, where a≠ 0 and the base b is a positive number other than 1. • If a > 0 and b > 1, the function y = abx is an exponential growth function • and b is called the growth factor.

  3. Vocabulary • An asymptote is a line that a graph approaches more and more closely (but will never actually touch!) • The end behavior of a function’s graph is the behavior of the graph as x approaches positive or negative infinity.

  4. Example 1: Graphy = 2x. STEP 1 Make a table of values. STEP 2 Plot the points from the table.

  5. 1 a. Plot and (1, 2) .Then, from left to right, draw a curve that begins just above the x-axis, passes through the two points, and moves up to the right. 2 0, EXAMPLE 2 Graph the function. SOLUTION

  6. 1,– x b. y = – 5 5 b. 2 2 Plot (0, –1) and . Then,from left to right, draw a curve that begins just below the x-axis, passes through the two points,and moves down to the right. EXAMPLE 2 Cont’d Graph the function. SOLUTION

  7. Example 3 GraphState the domain and range. SOLUTION • Begin by sketching the graph y = 4 ● 2x • Then translate the graph: y = 4 ● 2x – 1 – 3

  8. y = 4  2x

  9. Example 3 Cont’d • Domain? • Range? • Asymptote?

  10. Your Turn Graph each function below. State the Domain, range, and asymptote. • y = 5x • f(x) = 1/3 ● 4x • y = 2x + 1 – 1

  11. Your Turn: Answers Domain: all real #sRange: y > 0Asym.: y = 0 Domain: all real #sRange: y > 0Asym.: y = 0 Domain: all real #sRange: y > -1Asym.: y = -1

  12. Practice Problems • Out of your purple (M2) book Pg. 122 #1-17

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