F O R A P P L I E D C A L C U LU S M T H 2 7 1

ARE YOU READY?

ARE YOUR READY

• The following Power Point will consist of10 math problems that every student should be accustomed to solving before entering into the following class. Students should attempt to solve each problem on their own than check their answers (see last page) to see how they did. Instructional links will be provided in case the students need additional help.

PROBLEM 1

Use the Leading Coefficient Test to determine the end behavior of the graph.

PROBLEM 2

Using Long Division of Polynomials Divide

PROBLEM 3

Find The Vertical Asymptote of The Rational Function

PROBLEM 4

Find The Horizontal Asymptote of The Rational Function

PROBLEM 5

A ball is thrown vertically upward from the top of the Leaning Tower of Pisa (190 ft) with an initial velocity of 96 ft/sec. During which time period will the ball’s height exceed that of the tower?

PROBLEM 6

Write each equation in its equivalent exponential form:

Write each equation in its equivalent logarithmic form:

PROBLEM 7

Solve The Equation By Completing The Square

PROBLEM 8

Rationalize The Denominator

PROBLEM 9

Solve the equation (check the proposed solution)

PROBLEM 10

Perform The Indicated Operations (without calculator)

=

=

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ANSWERS

1) The Graph Falls To The Left and Falls To Right2) x+73) Vertical asymptotes at x = 3, x = -34) Horizontal asymptote y = 25) Between (0,6) seconds6) , 7) 8) 9) a = 8, However, there is no solution since the following would yield a division by zero.10)