2. Activity 1 Evaluate a Function and pptx

evaluate a function

1. Evaluating Functions

2. Objectives: At the end of the lesson, the learner is able to evaluate functions and solve problem involving functions.

3. Evaluating a function means replacing the variable in a function, in this case x , with a value from the function’s domain and computing for the result. To denote that we are evaluating f at a for some a in the domain of f , we write f(a) .

4. f(x) = 2x + 1 q(x) = x 2 – 2x + 2 g(x) = r(x) = Evaluate the following functions at x= 1.5

5. If one thinks of a functions as a function machine, evaluating a function is analogous to providing our machines with a valid input.

6. Group Activity Function Machine as Equation

7. General Instruction : Each group will be given 5 minutes to complete the table which was assigned to them. After the time allotted, the group will explain their answers in a creative way by thinking of a function machine that will represent their assigned function.

8. Find the output values of the functions when the input value (x) is given. For Group 1: INPUT FUNCTION OUTPUT f(1)   f(x) = 2x + 5 f(3) f(0) f(-2)

9. For Group 1: INPUT FUNCTION OUTPUT f(1)   f(x) = 2x + 5 7  f(3)  11 f(0)  5 f(-2)  1

10. For Group 2: INPUT FUNCTION OUTPUT g(1)   g(x) = x 2 + 1 g(3) g(0) g(1/2)

11. For Group 2: INPUT FUNCTION OUTPUT g(1)   g(x) = x 2 + 1   2 g(3)   10 g(0)   1 g(1/2)   1.25

12. For Group 3: INPUT FUNCTION OUTPUT h(1)   h(x) = h(3) h(0) h(-2) INPUT FUNCTION OUTPUT h(1) h(3) h(0) h(-2)

13. For Group 3: INPUT FUNCTION OUTPUT h(1)   h(x) =   1/2 h(3) 3 /4   h(0)   h(-2) 2   INPUT FUNCTION OUTPUT h(1)   1/2 h(3) 3 /4   h(0)   h(-2) 2  

14. For Group 4 : INPUT FUNCTION OUTPUT f(1)   f(x) = f(3) f(0) f(-2) INPUT FUNCTION OUTPUT f(1) f(3) f(0) f(-2)

15. For Group 4 : INPUT FUNCTION OUTPUT f(1)   f(x) = 2   f(3)   f(0)   3 f(-2)   5 INPUT FUNCTION OUTPUT f(1) 2   f(3)   f(0)   3 f(-2)   5

16. For Group 5: INPUT FUNCTION OUTPUT f(1)   f(x) = x 3 - 8 f(3) f(-1) f(-2)

17. For Group 5: INPUT FUNCTION OUTPUT f(1)   f(x) = x 3 - 8 -7   f(3) 19   f(-1) -9   f(-2)   -16

18. Homework: Evaluate the following functions. Given f(x) = x -2, find the following values: f(0) = f(3) = f(-1) = f( 𝜋) = f(x+1) = f(3x) = 2. Given f(x) = ,find the following values: f(1) = f(2) = f(4 𝜋 ) = f(-1 ) = f( ) = f(2x) =