Unit 1 - Lesson 1 - Evaluating Functions.pptx

this lesson will help you understand how to evaluate functions

1. Grade 11 General Mathematics

2. RECALL FACT or BLUFF

3. RECALL FACT or BLUFF All functions are relations FACT

4. RECALL FACT or BLUFF All relations are functions BLUFF

5. RECALL FACT or BLUFF A function is a set of ordered pairs ( x,y ) such that no two ordered pairs have the same y-element BLUFF

6. RECALL FACT or BLUFF Not all functions are relations BLUFF

7. RECALL FACT or BLUFF A student with a unique identification number is an example of a function FACT

8. What are the five different ways to represent a functions?

9. Five Ways to represent a FUNCTION Sets of Ordered Pairs Table of Values Graphs Equation Mapping

10. Which of the following sets of ordered pairs are functions? Answer: The sets in A and B are functions. Multiple Choice a. h = {(0,0),(1,1),(2,2),(3,3),(4,4),...} d. H = {(0,0),(0,1),(2,2),(3,3),(4,4),...} b. g = {(0,0),(1,0),(2,0),(3,0),(4,0),...} c. f = {(-2,0),(-2,1),(-2,2),(-2,3),(-2,4),...}

11. Which of the following tables below represent a function? x 1 2 3 y 1 2 3 x 1 1 1 1 y -4 -2 2 x -1 1 2 y 2 2 2 2 x 2 4 2 4 y -2 2 6 Answer: A and C A B C D

12. Which of the following mapping represent a functions? A B C D Answer: A, B and D

13. Which of the following graphs can be graphs of functions? Answer: A, B and C

14. Which of the following equations represent a function? Answer: A, C and D   d.     c.  

15. Learning Targets Evaluate a function at a given value

16. Evaluating a function means replacing the variable x in the function with a given number or expression. For example, evaluate the function Just replace the variable “x” with “5”: Answer: f(5)=14   Evaluating Functions

17. The function f is define on the real numbers by What is the value of   Solution: , =? The value of  

18. The function is define on the real numbers by g What is the value of g   Solution: g , g =? g , g , g , g The value of  

19. TICK-TOCK Tick-tock Evaluate the following functions at    

20. TICK-TOCK Tick-tock Evaluate the following functions at    

21. THANK YOU