Function Notation.ppt
Download as PPT, PDF1 like831 views
The document discusses functional notation and evaluating functions. Some key points: - Functional notation f(x) represents a variable y in an equation, like writing f(x)=2x+6 for the equation y=2x+6. - To evaluate a function, substitute the given value for x into the function. For example, if f(x)=2x+6 then f(3)=2(3)+6=12. - Examples are given of evaluating various functions for different values of x.
1 of 9
Downloaded 26 times
![Evaluating More Functions
If f(x) = 3x 1, and g(x) = 5x + 3, find each:
= [3(2) -1] + [5(3) + 3]
= 6 - 1 + 15 + 3
= 23
= [3(4) - 1] - [5(-2) + 3]
= 11 - (-7)
= 18
= 3[3(1) - 1] + 2[5(2) + 3]
= 6 + 26
= 32
1. f(2) + g(3)
2. f(4) - g(-2)
3. 3f(1) + 2g(2)](https://image.slidesharecdn.com/functionnotation-230227052422-003a2cd9/85/Function-Notation-ppt-9-320.jpg)
Function Notation.ppt
- 1. Ade John T. Gestole, T1
- 2. 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.
- 3. Example: y = 2x + 6 can be written as f(x) = 2x + 6. Given the equation y = 2x + 6, evaluate when x = 3. y = 2(3) + 6 y = 12
- 4. 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: 1. 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. Exercise:
- 7. Determine the value of x when given f(x). •Given f(x) = 4x + 8, determine x when: f(x) = 2 f (x) = -1
- 8. Exercise:
- 9. Evaluating More Functions If f(x) = 3x 1, and g(x) = 5x + 3, find each: = [3(2) -1] + [5(3) + 3] = 6 - 1 + 15 + 3 = 23 = [3(4) - 1] - [5(-2) + 3] = 11 - (-7) = 18 = 3[3(1) - 1] + 2[5(2) + 3] = 6 + 26 = 32 1. f(2) + g(3) 2. f(4) - g(-2) 3. 3f(1) + 2g(2)