# Difference between revisions of "004 Sample Final A"

Line 7: | Line 7: | ||

==[[004 Sample Final A, Problem 2|<span class = "biglink"> Question 2 </span>]]== | ==[[004 Sample Final A, Problem 2|<span class = "biglink"> Question 2 </span>]]== | ||

− | <span class="exam"> a) Find the vertex, standard graphing form, and ''x''-intercepts for <math>f(x) = \frac{1}{3}x^2 + 2x - 3</math><br> | + | <span class="exam"> a) Find the vertex, standard graphing form, and ''x''-intercepts for <math>f(x) = \frac{1}{3}x^2 + 2x - 3</math></span><br> |

| | ||

b) Sketch the graph. Provide the ''y''-intercept. | b) Sketch the graph. Provide the ''y''-intercept. |

## Revision as of 22:40, 31 May 2015

**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

a) Find the vertex, standard graphing form, and *x*-intercepts for

b) Sketch the graph. Provide the *y*-intercept.

## Question 3

Solve. Provide your solution in interval notation.

== Question 4 == Graph the system of inequalities.

== Question 5 == Describe how the graph of can be obtained from a basic graph. Then sketch the graph. Provide at least two ordered pairs, and the equation of any asymptote.

== Question 6 == Simplify.

== Question 7 == Given a sequence use formulae on the back page to compute

== Question 8 == a) List all the possible rational zeros of the function .

b) Find all the zeros, that is, solve

== Question 9 == Graph the function. Give equations of any asymptotes, and list any intercepts.

== Question 10 == Decompose into separate partial fractions.

== Question 11 == Find and simplify the difference quotient for

== Question 12 == Set up, but do not solve the following word problem. Two private airplanes travel toward each other from cities that are 780 km apart at speeds of 190 km/hr and 200 km/hr. They left at the same time. In how many hours will they meet?

== Question 13 == Compute

== Question 14 == a) Find an equation of the line passing through and .

b) Find the slope of any line perpendicular to your answer from a)

== Question 15 == Solve.

== Question 16 == Solve.

== Question 17 == How many ways can a committee of four people can be selected from five married couples if no committee is to include both husband-and-wife pairs? (simplify your answer to a single number)

== Question 18 == Ten teams are entered in a bowling tournament. In how many ways can first, second, and third prizes be awarded? (simplify your answer to a single number)

== Question 19 == Solve for *x*: