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.
Find f(5) for f(x) given in problem 1.
a) Find the vertex, standard graphing form, and X-intercept for
b) Sketch the graph. Provide the focus and directrix.
Solve. Provide your solution in interval notation.
Graph the system of inequalities
Sketch . Give coordinates of each of the 4 vertices of the graph.
Given a sequence use formulae to compute and .
a) List all the possible rational zeros of the function
b) Find all the zeros, that is, solve f(x) = 0
Graph the function. Give equations of any asymptotes, and list any intercepts
Decompose into separate partial fractions
Find and simplify the difference quotient for f(x) =
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?
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).
Compute the following trig ratios: a) b) c)
Compute . Provide your answer in radians.