1. domain and range grade 11 power point

1. domain and range grade 11

1. DOMAIN AND RANGE OF A RATIONAL FUNCTION

2. At the end of this lesson, the students are expected to: 1. define domain and range; 2. find the domain and range of a rational function LEARNING OBJECTIVE/S:

3. Steps in determining the domain of a rational function: Find the value of x that makes the denominator not equal to zero Write the domain in rule form or interval notation

4. Steps in determining the range of a rational function: Let y=f(x) Solve for x in terms of y Find the value of y that makes the denominator not equal to zero Write the range in rule or interval form

5. Example 1: Find the domain and range of the rational function  

6. Example 1: Find the domain and range of the rational function To find the DOMAIN: First, we equate the denominator to zero, , therefore Domain: or simply , that is all vales can take the variable except  

7. To find the RANGE, we use , so that Use to get real solution/s Let a = y; b = -2, c = 3 Therefore, Range:  

8. Therefore, the domain and range of the rational function  

9. Example 2 : Find the domain and range of the rational function  

10. Example 3: Find the domain and range of the rational function  

11. Example 4 : Find the domain and range of the rational function  

12. 2x 2 + 7x – 4 = 0 (2x – 1 ) (x + 4) 2x – 1 =0 | x + 4 = 0 2x/2 = 1/2 | x = -4 x = 1/2

13. WELL DONE!