Exam 11: Limits and Continuity

The revenue R for a product is given by R(x)= 1750x - where x is the number of units sold.Graph this function on your graphing calculator in several different viewing rectangles.Discuss whether you think this function is continuous or not.

The cost of purifying water is given by C = - 2000 where C is the cost in dollars and p is the percent of impurities left in the water after purification.Graph this function on your graphing calculator and determine C.

Let f(x)= .The only value(s)of x for which f is discontinuous is (are)

Suppose that the rent for an apartment in a city with rent control is $540 per month.Show that the rent function R(t)= 540 is continuous at t = 3.

The demand function for a certain product is given by p(x)= where p is the price in dollars and x is the quantity sold.Find p(x).

Find the value(s)of x for which f(x)= is discontinuous.

Find the following limit.If it is +∞ or -∞ or does not exist,then say so.

Find: .If the limit does not exist,so state or use the symbol ∞ or if appropriate.

If f(x)= 2x + 7,find by treating x as a constant.

Find: .If the limit does not exist,so state or use the symbol ∞ or -∞ if appropriate.

=

The revenue function for a certain product is given by R(x)= 500x - .Find R(x).

Find: .If the limit does not exist,so state or use the symbol ∞ or -∞ if appropriate.

The revenue R for a product is given by R(x)= 1750x - where x is the number of units sold.Is this function continuous for x = 100?

Use your calculator to complete the table,and use your results to estimate the given limit.

Find: .If the limit does not exist,so state or use the symbol ∞ or if appropriate.

Find: .If the limit does not exist,so state or use the symbol ∞ or -∞ if appropriate.

Solve: ( - 9)< 0

Solve: ≥ 0