New Functions from Old:
|
Return to Main Page
Index of On-Line Topics Text for This Topic Everything for Calculus Everything for Finite Math Everything for Finite Math & Calculus Utility: Function Evaluator & Grapher Español |
In each of the following, first sketch the select the graph of the given function, then select the graph below that corresponds to your sketch.
Note: Clicking on a graphic gives feedback for odd-numbered exercises only.
1. | $f(x) = \frac {1}{x + 2}$ | 2. | $f(x) = \frac {1}{x+ 1}$ |
3. | $f(x) = (x+1)^2$ | 4. | $f(x) = (x+3)^2$ |
5. | $f(x) = \frac {1}{x+ 1}-1$ | 6. | $f(x) = \frac {1}{x+ 1}+2$ |
7. | $f(x) = (x-2)^{2} + 1$ | 8. | $f(x) = (x-2)^{2} - 2$ |
9. | $f(x) = \|2x + 2\|$ | 10. | $f(x) = 2\|x + 2\|$ |
11. | $f(x) = 2\|-x + 1\|$ | 12. | $f(x) = \|-2x + 1\|$ |
13. $g(x) = (x - 1)^2$ | Answer for 13 | 14. $h(x) = (2x)^2$ |
15. $s(x) = \left(\frac {1^2} {x}\right)$ | Answer for 15 | 16. $l(x) = (x + 2)^2$ |
17. $m(x) = 2 + x^2$ | Answer for 17 | 18. $n(x) = x^{2} - 1$ |
19. $r(x) = 3x^2$ | Answer for 19 | 20. $s(x) = \frac {x^2} {3}$ |
21. $t(x) = 2(x-1)^2 - 1$ | Answer for 21 | 22. $u(x) = 0.5(x + 2)^2$ |
23. $h(x) = -(x - 2) ^{1/2} + 1$ | Answer for 23 | 24. $h(x) = (-x - 1) ^{1/2} + 1$ |
25. $h(x) = -[- (x - 2)] ^{1/2} + 1$ | Answer for 25 | 26. $h(x) = 1 -(-x - 1) ^{1/2}$ |
27. $m(x) = -\|2x + 2\|$ | Answer for 27 | 28. $m(x) = -\|2 - x\|$ |
29. $r(x) = -2\|x + 2\|$ | Answer for 29 | 30.$ r(x) = -2\|3x + 1\|$ |
Applications
40. Cost Functions Suppose that fixed costs were to rise by $$10,000.$ Exactly how would the new cost function be related to C? How would their graphs be related? 41. Cost Functions Suppose that $D(x)$ represents the cost to manufacture $x$ more than $1,000$ items. Exactly how are $D$ and $C$ related? How are their graphs related?
New Functions from Old:
|
Return to Main Page
Index of On-Line Topics Text for This Topic Everything for Calculus Everything for Finite Math Everything for Finite Math & Calculus Utility: Function Evaluator & Grapher |