Using the equation? = x^3/x^2 − 4 ? You need to show the following work -determination of x and y intercepts -determination of restrictions on x -determination of equations of vertical asymptotes (if they exist)
Using the equation? = x^3/x^2 − 4 ?
You need to show the following work
-determination of x and y intercepts
-determination of restrictions on x
-determination of equations of vertical asymptotes (if they exist)
-determination of equations of horizontal asymptote (if they exist)
-determination of any point discontinuities (if they exist)
-determination of the derivative of your function
-determination of critical numbers for the first derivative test
-intervals of increase and decrease (based on first derivative test)
-max and min values (including both x and y values – you may use decimal approximations – round to 2
decimals)
-determination of the second derivative of your function
-determination of critical numbers for the second derivative test
-intervals of concavity (based on the 2nd derivative test)
-points of inflection (including both x and y values – you may use decimal approximations – round to 2
decimals)
-a sketch of your graph (by hand). The sketch should be large (at least half a page) and the following
points/features should be labeled on your sketch:
-vertical asymptotes
-horizontal asymptotes
-x and y intercepts
-maximum and minimum points
-points of inflection
-a sketch of your graph on Desmos. The Desmos sketch should also have all of the key points/features
labelled.
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