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Ch. 4.4 to 4.5. “a” changes the steepness of the growth or decay If (-a) graph is flipped “b” is the base it determines if it is an EXPONENTIAL GROWTH.

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Presentation on theme: "Ch. 4.4 to 4.5. “a” changes the steepness of the growth or decay If (-a) graph is flipped “b” is the base it determines if it is an EXPONENTIAL GROWTH."— Presentation transcript:

1 Ch. 4.4 to 4.5

2 “a” changes the steepness of the growth or decay If (-a) graph is flipped “b” is the base it determines if it is an EXPONENTIAL GROWTH (greater than 1) or EXPONENTIAL DECAY (fraction or decimal between 0 and 1) “k” is the horizontal asymptote moves the graph up or down

3

4 Step 1: Determine if the graph is Exponential Growth or Decay Exponential Growth: Exponential Decay: Step 2: Find the asymptote: graph as a dotted horizontal line Step 3: Find the y-int – plug in a zero for x

5 Domain for Exponential is always ALL REAL NUMBERS Range: if a is positive it is y>k (asymptote) if a is negative it is y<k (asymptote) A negative a-value will flip the graph: Example: This is the graph of

6 FIND THE LENGTH OF THIS #19)


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