6.1 day 1 - moore public schools€¦ · 6.1 day 1 2 january 27, 2020 6.1 - exponential growth and...
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6.1 Day 1
1
January 27, 2020
Warm UpFill out each table of values. You may use a calculator.
x 10 5 1 0 1 5 10
f(x)
1. f(x) = 4x
2. f(x) = (1/2)x
x 10 5 1 0 1 5 10
f(x)
For each problem, as x increases, does f(x) increase or decrease?1:2:
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6.1 Day 1
2
January 27, 2020
6.1 - Exponential Growth and DecayDefinitions:
• exponential function:
b is a positive number other than 1a cannot equal 0
• If b > 1 : exponential _________
• If 0<b<1: exponential ________
• b is called the growth or decay factor.
• asymptote: a line that the graph approaches more and more closely without touching/crossing.
6.1 Day 1
3
January 27, 2020
Ex 1:
Parent?
Growth or Decay?
Transformations?
Asymptote?
x
y
x f(x)105101510
a: vertical stretch or shrink factor
a: reflected over the xaxis
h: horizontal translation
k: vertical translation
y = k is the asymptote!!!
D:
R:
6.1 Day 1
4
January 27, 2020
Ex 2:
Base:
Exponent:
Growth or decay:
a: h: k:
Asymptote:
Transformations:
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