Algebra
eri.en
case_5.docx|
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.
