EVALUATING FUNCTION2.hdhdhdhdhjdjdh.pptx

Evaluating Function

1. LOADING…

2. SOLVE: x-4 if x=6 n+3 if n=6 m+4 if m=6 y-8 if y=16 x-2 if x=5 2- EVA 9 - LUA 10- TING 8 - FUNC 3- TION 1.___ 2 ____2.___ 9 ___3._ 10 __ 4._____ 8 _____5.___ 3 _____

3. 1.___ 2 ____2.___ 9 ___3._ 10 __ 4._____ 8 _____5.___ 3 _____ 2- EVA 9 - LUA 10- TING 8 - FUNC 3- TION EVA LUA TING FUNC TION

4. EVALUATING FUNCTION CO_Q1_General Mathematics SHS

5. OBJECTIVES At the end of the lesson the students should be able to; a. identify the various types of functions; and b. evaluate functions .

6. TYPES OF FUNCTIONS

7. A constant function has the same output value no matter what your input value is. Because of this, a constant function has the form f (x) = b , where b is a constant (a single value that does not change ). y = 7 Constant Function

8. The identity function returns the same value and uses as its argument. It can be expressed as f (x) = x , for all values of x. f (2) = 2 Identity Function

9. A polynomial function is defined by n x , where n is a non-negative integer and , n ∈ R   Polynomial Function

10. The polynomial function with degree one. It is in the form y = mx + b. y = 2x + 5 Linear Function

11. If the degree of the polynomial function is two, then it is a quadratic function. It is expressed as , where a ≠ 0 and a, b, c are constant and x is a variable.   Quadratic Function

12. A cubic polynomial function is a polynomial of degree three and can be denoted by , where a ≠ 0 and a, b, c, and d are constant & x is a variable .   Cubic Function

13. A power function is in the form where b is any real constant number. Many of our parent functions such as linear and quadratic functions are functions   Power Function

14. A rational function can be represented by a rational fraction say, in which numerator and denominator are polynomial functions of x, where q(x) ≠ 0 . f   Rational Function

15. This function is in the form , where x is an exponent and a and b are constants. (Note: only b is raised to the power x; not a.) If the base b is greater than 1, then the result is exponential growth   Exponential function

16. Logarithmic functions are the inverses of exponential functions and vice versa. Logarithms are very useful in permitting us to work with very large numbers while manipulating numbers of a much more manageable size. It is written in the form y= , x > 0 where b > 0 and b ≠1 . y=   Logarithmic Function

17. T he absolute value of any number, c, is represented in the form of |c|. If any function f: R→ R is defined by f (x) = x , it is known as absolute value function. For each non-negative value of x, f(x) = x and for each negative value of x, f(x) = -x, i.e., f(x) = x, if x ≥ 0; – x, if x < 0 . y = x − 4 + 2 Absolute Value Function

18. If a function f: R→ R is defined by f(x) = [x], x ∈ X, round-off it to the integer less than the number. Suppose that the given interval is in the form of (x, x+1), the value of greatest integer function is x which is an integer . f (x) = ‖ x ‖+ 1 where ‖x‖ is the greatest integer function Greatest Integer Function

19. Evaluate the Function; 1.        

20. Evaluate the Function; 2.        

21. GROUP ACTIVITY

22. Analysis Why is it important to know in evaluating function?

23. Abstraction What are the various types of function?

24. Abstraction What are the various types of function?

25. Application How to apply evaluating function in a real life situation?

26. Mark charges P100.00 for an encoding work. In addition, he charge P5.00 per page of printed output. Find function f(x) where x represent the number page of printed out . How much will Mark charge for 55-pages encoding and printing work ? f(x )=5x-100 f(x )= 5x + 100 f(55)= 5(55) + 100 f(55)= 275 + 100 f(55)= 3 75

27. Alex charges P150.00 for an encoding work. In addition, he charge P3.00 per page of printed output. Find function f(x) where x represent the number page of printed out . How much will Alex charge for 25-pages encoding and printing work ? f(x )=3x-150 f(x )= 3x + 150 f(55)= 5(25) + 100 f(55)= 75 + 150 f(55)= 225

28. EVALUATION Direction: Evaluate functions. Find its value if x= 4. (10 minutes)

29. ASSIGNMENT Direction: Evaluate functions. Find its value if x= -2 . 1. 2.