New Functions from Old:

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Index of OnLine 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 oddnumbered 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.  $f(x) = (x2)^{2} + 1$  8.  $f(x) = (x2)^{2}  2$ 
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. $s(x) = \left(\frac {1}{2} x \right)^2$  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. $t(x) = 2(x1)^2  1$  Answer for 21  22. $u(x) = 0.5(x + 2)^2$ 
23. $h(x) = \sqrt{x  2} + 1$  Answer for 23  24. $h(x) = \sqrt{x  1} + 1$ 
25. $h(x) = \sqrt{ (x  2)} + 1$  Answer for 25  26. $h(x) = 1 \sqrt{(x  1)}$ 
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:

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Index of OnLine Topics Text for This Topic Everything for Calculus Everything for Finite Math Everything for Finite Math & Calculus Utility: Function Evaluator & Grapher 