Algebra

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?

 

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?

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?

 
 

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

19.

20.  

21. If 
and  
  then find (f + g)(x)

22. If  
  and  
   then find  (f – g)(x) and (f – g)(5)

23. If  
  and  
  then find (fg)(x)

24. If  
    and  
  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.