1 Intro to Exponentials.notebook 1 November 11, 2019 Intro to Exponential Functions F.IF.4 Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. F.IF.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person‐hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function. MGSE9‐12.F.IF.7e Graph exponential functions, showing intercepts and end behavior.
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1 Intro to Exponentials.notebook
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November 11, 2019
Intro to Exponential Functions
F.IF.4 Using tables, graphs, and verbal descriptions, interpret the key characteristics of a function which models the relationship between two quantities. Sketch a graph showing key features including: intercepts; interval where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
F.IF.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person‐hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.
MGSE9‐12.F.IF.7e Graph exponential functions, showing intercepts and end behavior.
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What am I learning today?
How to describe the characteristics of an exponential function
How will I show that I learned it?Graph and identify the characteristics of
exponential graphs
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Vocabulary: Exponential Function ‐ a function with a constant base and a variable exponent. Example: f(x) = 2x
Asymptote ‐ A value that a function approaches but never reaches. This is represented graphically by a dotted line.
Exponential Growth ‐ An exponential graph that is increasing from left to right. Caused by a base greater than 1. Example: f(x) = 2x
Exponential Decay ‐ An exponential graph that is decreasing from left to right. Caused by a base greater than 0 but less than 1. Example: f(x) = (1/2)x
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Parent FunctionExponential Functions (y = bx) when graphed are flat on one side and steep on the other.
y = 2xx y
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Basics about Exponential GraphsDomain:
Range:
Asymptote:
Extrema:
b __ 1
Exponential ____________
xint: yint:
End Behavior: As x ⇒ __, y ⇒ __
As x⇒ __, y ⇒ __
y = 2x
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Parent FunctionExponential Functions (y = bx) when graphed are flat on one side and steep on the other.
y = 1/2xx y
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Basics about Exponential GraphsDomain:
Range:
Asymptote:
Extrema:
b __ 1
Exponential ____________
xint: yint:
End Behavior: As x ⇒ __, y ⇒ __
As x⇒ __, y ⇒ __
y = (1/2)x
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