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$3.00 Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16.

  • From Mathematics: Algebra
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  • Due on Jun. 26, 2007
  • Asked on Jun 19, 2007 at 2:12:35PM
Asked by :
xdblackimage
xdblackimage
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Q:
Please show all work.

Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x.

f(x) = 3x + 2
f(x) = x2 + 5x + 6
f(x) = x3 + 3x2 + 2x + 1
f(x) = ex
f(x) = log x

Grading Criteria:
Answered the questions correctly (Each of the 5 questions is of 8 points: 4 points for calculation of values of x and 4 points for valid comment on the result)
 

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  • Posted on Jun 19, 2007 at 3:33:32PM
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Helicopterodactyl
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A:
Preview: ... increases more quickly than the first one, at a quadratic rate.<br><br>3. 3+3+2+1=9<br>6+12+4+1=23<br>12+48+8+1=69 ...
The full tutorial is about 46 words long .
 
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Rates of change for various functions
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  • Posted on Jun 19, 2007 at 5:01:02PM
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djam
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A:
Preview: ... e slope of the curve is steeper as x increases in this case.<br><br>f(x) = x3 + 3x2 + 2x + 1 <br><br>This cubic function also has a U shape on the right, though not technically a parabola. The rate of increase is larger than that for the quadratic function.<br><br>f(x) = ex <br><br>Notice how this function increases as x increases, just like the first three. It starts ...
The full tutorial is about 330 words long plus attachments.

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Attachments:
calculation of values.xls (13K)