008A Sample Final A

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This is a sample final, and is meant to represent the material usually covered in Math 8A. Moreover, it contains enough questions to represent a three hour test. An actual test may or may not be similar. Click on the  boxed problem numbers  to go to a solution.

 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 


 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 


 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 


 Question 17 

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

 Question 18 


 Question 19 

Compute . Provide your answer in radians.