008A Sample Final A

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 Question 1  Find for

 Question 2  Find f(5) for f(x) given in problem 1.

 Question 3  a) Find the vertex, standard graphing form, and X-intercept for

                  b) Sketch the graph. Provide the focus and directrix.

 Question 4  Solve. Provide your solution in interval notation.

 Question 5  Graph the system of inequalities          

 Question 6  Sketch . Give coordinates of each of the 4 vertices of the graph.

 Question 7  Solve

 Question 8  Given a sequence use formulae to compute and .

 Question 9  a) List all the possible rational zeros of the function
                  b) Find all the zeros, that is, solve f(x) = 0

 Question 10  Graph the function. Give equations of any asymptotes, and list any intercepts

 Question 11  Decompose into separate partial fractions

 Question 12  Find and simplify the difference quotient for f(x) =

 Question 13  Set up, but do not solve, the following word problem.
One evening 1500 concert tickets were sold for the Riverside Jazz Festival. Tickets cost $25 for a covered pavilion seat and $15 for a lawn seat. Total receipts were $28,500. How many of each type of ticket were sold?

 Question 14  Compute

 Question 15  a) Find the equation of the line passing through (3, -2) and (5, 6).
                    b) Find the slope of any line perpendicular to your answer from a)

 Question 16  Solve.

 Question 17  Compute the following trig ratios: a)       b)       c)

 Question 18  Compute

 Question 19  Compute . Provide your answer in radians.