Practices for Polynomial functions
Math 145
For
find the of
find the interval(s) where
sketch the graph for f.
For
find the of
find the interval(s) where
sketch the graph for f.
Find the revenue function, which is a quadratic function, satisfies ALL the function conditions:
the company has no revenue when and units are produced.
the maximum revenue is
A company's profit function (when number of units are produced) resembles a polynomial function and satisfies the following conditions:
The profit function breaks even at and units.
The profit function changes signs (from to or vise versa) at but does not change sign at and
The company is profitable when units are produced.
Then (a) find a profit function which satisfies all the conditions mentioned above. (b) Predict if 300 units is produced, would the company be profitable? (c) According to given information, when would the profit function reach a local maximum?
Sketch the graph which you have found in question above
For
find the of
find the interval(s) where
sketch the graph for f.
For , then
find so that the graph of has exactly one x-intercept,
find so that the graph of has two x-intercepts,
find so that the graph of has no x-intercept.
Explain why any even degree polynomial must have one y-intercept.
Explain why any odd degree polynomial has at least one x-intercept.