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Lesson 5.2 (PART 2). FUNCTION NOTATION. 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 . Functional Notation Cont’d. Example:

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lesson 5 2 part 2
Lesson 5.2 (PART 2)

FUNCTION NOTATION

functional notation
Functional Notation
  • An equation that is a function may be expressed usingfunctional notation.
  • The notationf(x) (read “fof (x)”) represents the variable y.
functional notation cont d
Functional Notation Cont’d

Example:

y = 2x + 6 can be written as f(x) = 2x + 6.

Given the equationy = 2x + 6, evaluate when x = 3.

y = 2(3) + 6

y = 12

functional notation con t
Functional Notation Con’t

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

evaluating functions
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

determine the value of x when given f x
Determine the value of x when given f(x).

Given f(x) = 4x + 8, determine x when:

f(x) = 2

f (x) = -1

evaluating more functions
Evaluating More Functions

1. f(2) + g(3)

= [3(2) -1] + [5(3) + 3]

= 6 - 1 + 15 + 3

= 23

If f(x) = 3x 1, and g(x) = 5x + 3, find each:

2. f(4) - g(-2)

= [3(4) - 1] - [5(-2) + 3]

= 11 - (-7)

= 18

= 3[3(1) - 1] + 2[5(2) + 3]

= 6 + 26

= 32

3.3f(1) + 2g(2)