Lesson 5.2 (PART 2)

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Lesson 5.2 (PART 2)
FUNCTION NOTATION
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Functional Notation

• An equation that is a function may be expressed
  using functional notation.
• The notation f(x) (read f of (x)) represents
  the variable y.

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Functional Notation Contd
Example y 2x 6 can be written as f(x) 2x
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Given the equation y 2x 6, evaluate when x
3.
y 2(3) 6 y 12
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Functional Notation Cont
For the function f(x) 2x 6, the notation f(3)
means that the variable x is replaced with the
value of 3.
f(x) 2x 6
f(3) 2(3) 6 f(3) 12
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Evaluating Functions

• Given f(x) 4x 8, find each
• f(2)
• 2. f(a 1)
• 3. f(?4a)

4(2) 8 16
4(a 1) 8 4a 4 8 4a 12
4(-4a) 8 -16a 8
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Determine the value of x when given f(x).

• Given f(x) 4x 8, determine x when
• f(x) 2
• f (x) -1

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Evaluating More Functions

• If f(x) 3x ? 1, and g(x) 5x 3, find each

1. f(2) g(3)
3(2) -1 5(3) 3 6 - 1 15 3 23
2. f(4) - g(-2)
3(4) - 1 - 5(-2) 3 11 - (-7) 18
33(1) - 1 25(2) 3 6 26 32
3. 3f(1) 2g(2)