SOLUTION: 5(a)complete the table for the function f (x ) = (x^3/2)-3x -1 X |-3 |-2|-1.5|-1 |0 |1 |1.5 |2 |3 |3.5| Y |-5.5|1 | 1.8|1.5|-1|-3.5|-3.8|-3|3.5|9.9| b) on the

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Question 1119254: 5(a)complete the table for the function f (x ) = (x^3/2)-3x -1
X |-3 |-2|-1.5|-1 |0 |1 |1.5 |2 |3 |3.5|
Y |-5.5|1 | 1.8|1.5|-1|-3.5|-3.8|-3|3.5|9.9|

b) on the grid draw the graph of y=f (x) for -3 <\=x <\=3.5
C)(i) find them inequalities for k , so that f (x) =k has only 1 answer .
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
5(a)complete the table for the function f (x ) = (x^3/2)-3x -1
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x f(x) -3.0 -5.5 -2.5 -1.3125 -2.0 1 -1.5 1.8125 -1.0 1.5 -0.5 0.4375 0.0 -1 0.5 -2.4375 1.0 -3.5 1.5 -3.8125 2.0 -3 2.5 -0.6875 3.0 3.5 3.5 9.9375

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b) on the grid draw the graph of y=f (x) for -3 <\=x <\=3.5
Plot the points, draw a curve thru them.
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C)(i) find them inequalities for k , so that f (x) =k has only 1 answer
IDK what that means.

Answer by ikleyn(52779) (Show Source):
You can put this solution on YOUR website!
.
In the Figure, the plot of the function is shown. They ask you to find the values of "k", such that each straight horizontal line y = k intersect the plot at ONLY ONE POINT, as the most upper and the most lower horizontal straight lines do. These values of "k" are y-values of local minimum and local maximum of the plot. Plot y = This question relates to Calculus, so I assume that your level is ADEQUATE to understand how to find these local maximum/minimum. Alternatively, you can find these y-values approximately using y-values from your table.