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Lesson 5.2 (PART 2)

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)

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  1. Lesson 5.2 (PART 2) FUNCTION NOTATION

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

  3. 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

  4. 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

  5. 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

  6. Determine the value of x when given f(x). Given f(x) = 4x + 8, determine x when: f(x) = 2 f (x) = -1

  7. 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)

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