Algebra

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case_5.docx

Exercises

See the figure below. The line from (-5,3) to (2,3) to (3,0) and continuing indefinitely in the direction of the arrow represents ONE function, f(x).

1. Does the relationship pass the vertical line test, for being a function?

2. What is the range?

3. What is the domain?

4. What are the X-intercepts, if any?

5. What is the Y-intercept?

6. What is the nature of the relationship (linear, quadratic, etc.)

7. What is the value of f(x) at x=2?

Description: example 1a

 

The curve represented a binomial function.

8. Does the relationship pass the vertical line test, for being a function?

9. What is the range?

10. What is the domain?

11. What are the X-intercepts, if any?

12. What is the Y-intercept?

Description: example 2a

The plot below represents a cubic function.

13. Does the relationship pass the vertical line test, for being a function?

14. What is the range?

15. What is the domain?

16. What are the X-intercepts, if any?

17. What is the Y-intercept?

18. What is the value of f(x) at x=2?

Description: example 3a

   

Find the equation of the inverse function for the following functions. 

19.

Description: example 5a

20.  

Description: example 6a

21. If 

Description: function f
and  
Description: function g
  then find (f + g)(x)

22. If  

Description: function f
  and  
Description: function g
   then find  (f - g)(x) and (f - g)(5)

23. If  

Description: function f
  and  
Description: function g
  then find (fg)(x)

24. If  

Description: function f
    and  
Description: function g
  then find (f/g)(x) and (f/g)(1)

Assignment Expectations: 

Find the domain and the range of a function.

Find the s-intercept and the y-intercept of a function.

Find the inverse of a function.

Add, subtract, multiply and divide functions.