August 24, 2016
1.3 Functions and Their Graph: Day 2
– Find the domain and range of a function.
– Sketch the graph of a function.
– Identify different types of transformations of functions.
– Classify functions and recognize combinations of functions.
You must know the basic functions.
Parent Functions
Identity function
Squaring function
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Cubing function
Square root function
Absolute value
function
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Rational function
Sine Function
Cosine function
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Tangent function
Exponential
Function
Note: a > 1
Logarithmic
Function
Exponential Growth
Exponential Decay
– The base is > than 1
– The base is between 0 and 1
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August 24, 2016
August 24, 2016
Use the graphs of ƒ and g to evaluate each expression. If
the result is undefined, explain why.
a. ƒ(g(0)) =
b. g(ƒ(5)) =
c. ƒ(ƒ(–4)) =
d. g(g(–3)) =
e. ƒ(g(6)) =