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• Exponents exponent rules! ↳zevo rule a° = 1 4 4 product rule → aman = am quotient rule aman = am-n to power of a product → (ab) =a.b t M m 4 ↳ = • Power of a quotient → (a/b)" Power of a power → (amj^ negative exponent ↳ a-m=1=am fractional exponent. • a (m÷n) = (²√7)m exponential functions the base is a constant the exponent is a variable. ↳Y=ab² -> -base b where Examples~ Examples ~ MAN SExp. Growth) y= 3/2)* y = 1/2 (4)* y=(1-3)) m m y = 2* y = (1/2)*_y=(3) "* y = 3(4) ² exponential growth vs. exponential decay ↳ifa is positive, y = ab* can be classified as exponential growth or exponential decay. ↳ when a is positive ->> m=b' m.n m a #0₁b=0, and b #1 ↳o if a is negative, then it's neither exponential growth. nor exponential demay الاحمد Exp. Decay y=(0.5) ² y=2(%) y=(4) ** b-1, exponential growth 40<b<1, exponential decay. Neither y=-2(3) y = - (0.33 ⁰ y=-5 (3)-x
iOS User
Stefan S, iOS User
SuSSan, iOS User
Notes on exponential functions and different rules
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Learn about the rules and examples of exponential growth and decay, including positive and negative exponents and fractional exponents.
36
These notes have concepts and information from topics from Algebra 1.
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Exponential functions are one of the most important functions in mathematics. Exponential functions have many scientific applications, such as population growth and radioactive decay.
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Gives information on logarithms (natural and common) and gives examples for each of them + expansion/condensing
• Exponents exponent rules! ↳zevo rule a° = 1 4 4 product rule → aman = am quotient rule aman = am-n to power of a product → (ab) =a.b t M m 4 ↳ = • Power of a quotient → (a/b)" Power of a power → (amj^ negative exponent ↳ a-m=1=am fractional exponent. • a (m÷n) = (²√7)m exponential functions the base is a constant the exponent is a variable. ↳Y=ab² -> -base b where Examples~ Examples ~ MAN SExp. Growth) y= 3/2)* y = 1/2 (4)* y=(1-3)) m m y = 2* y = (1/2)*_y=(3) "* y = 3(4) ² exponential growth vs. exponential decay ↳ifa is positive, y = ab* can be classified as exponential growth or exponential decay. ↳ when a is positive ->> m=b' m.n m a #0₁b=0, and b #1 ↳o if a is negative, then it's neither exponential growth. nor exponential demay الاحمد Exp. Decay y=(0.5) ² y=2(%) y=(4) ** b-1, exponential growth 40<b<1, exponential decay. Neither y=-2(3) y = - (0.33 ⁰ y=-5 (3)-x
• Exponents exponent rules! ↳zevo rule a° = 1 4 4 product rule → aman = am quotient rule aman = am-n to power of a product → (ab) =a.b t M m 4 ↳ = • Power of a quotient → (a/b)" Power of a power → (amj^ negative exponent ↳ a-m=1=am fractional exponent. • a (m÷n) = (²√7)m exponential functions the base is a constant the exponent is a variable. ↳Y=ab² -> -base b where Examples~ Examples ~ MAN SExp. Growth) y= 3/2)* y = 1/2 (4)* y=(1-3)) m m y = 2* y = (1/2)*_y=(3) "* y = 3(4) ² exponential growth vs. exponential decay ↳ifa is positive, y = ab* can be classified as exponential growth or exponential decay. ↳ when a is positive ->> m=b' m.n m a #0₁b=0, and b #1 ↳o if a is negative, then it's neither exponential growth. nor exponential demay الاحمد Exp. Decay y=(0.5) ² y=2(%) y=(4) ** b-1, exponential growth 40<b<1, exponential decay. Neither y=-2(3) y = - (0.33 ⁰ y=-5 (3)-x
iOS User
Stefan S, iOS User
SuSSan, iOS User