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Exponential GrowthExponential Decay (0,a) Exponential Parent Fcn: Growth: b > 1 Decay: 0 < b < 1 H.Asymptote: y = 0 y-int is a_(1 on parent fcn) Shifts:

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Presentation on theme: "Exponential GrowthExponential Decay (0,a) Exponential Parent Fcn: Growth: b > 1 Decay: 0 < b < 1 H.Asymptote: y = 0 y-int is a_(1 on parent fcn) Shifts:"— Presentation transcript:

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2 Exponential GrowthExponential Decay (0,a) Exponential Parent Fcn: Growth: b > 1 Decay: 0 < b < 1 H.Asymptote: y = 0 y-int is a_(1 on parent fcn) Shifts: Horiz: set power of “b” equal to _0_ & solve Vert shift: look at _c__ H. Asympt: is at _c__ Add the info in red to your WS 8.0

3 This matches your HW #1 H. Asymptote: Domain: Range: Y-intercept: XY Base -1 0Base 0 1Base 1 2Base 2 3base 3 1 4 ¼ All reals x Y > 0 (0,1) Y= 0 Notice when b>1 we have exponential growth 16 64 + 0

4 This matches your HW #4 Domain: Range: Y-intercept: H. Asymptote XY Base -1 0Base 0 1Base 1 2Base 2 1 4 ¼ All reals x Y > 0 (0,1) 1/16 Y = 0 Notice when 0<b<1 we have exponential decay + 0

5 Find the y-intercept:

6 Find the x-intercept:

7 Causes a _________________ in the graph Causes a _____________ in the x-axis “h” causes a _______________________ in the graph “k” causes a _______________________ in the graph Vertical Translation Vertical Shrink Reflection Horizontal Translation Vertical Stretch

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