1.2 ­ Function Notation.notebook
February 24, 2017
1.2 ­ Function Notation
Recap
Function: a relation where each value of the independent variable corresponds with only one value of the dependent variable; can use vertical­line test to determine if a function or not
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1.2 ­ Function Notation.notebook
February 24, 2017
Ex. 1
A mountain has an elevation of 7,500 m. Suppose the temperature at the bottom of the mountain is 20˚C and that it decreases at a rate of 0.005˚C/m as you ascend. Represent the temperature on the mountain using function notation.
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1.2 ­ Function Notation.notebook
February 24, 2017
Function notation: notation, such as f(x), used to represent the value of the dependent variable (the output) for a given value of the independent variable, x (the input); the notations y and f(x) are interchangeable in the equation or graph of a function
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1.2 ­ Function Notation.notebook
February 24, 2017
Ex. 2
Use the following graph to determine each value.
(a) g(0)
(b) g(3)
(c) x if g(x) = 0
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1.2 ­ Function Notation.notebook
February 24, 2017
f(a) represents the value/output of the function when the input of x = a. To evaluate f(a), substitute a for x in the equation for f(x)
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1.2 ­ Function Notation.notebook
February 24, 2017
Ex. 3
Consider the following functions f(x) = x(12 – 2x) and g(x) = x – 3 (a) Determine f(2) and g(2)
(b) Explain what f(2) ˃ g(2) means on a graph
(c) Determine g(a + b)
(d) Determine f[g(x)]
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