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STUDY GUIDE FOR MATH 2147 TEST ONE
The textbook sections of Test One are R.8, 3.1, 3.5, 6.2, 6.3, and 6.4. A section by section breakdown of the test objectives with corresponding hw problems to practice are given below:
SECTION R.8 NTH ROOTS , RATIONAL EXPONENTS
Simplifying expressions containing rational exponents are radicals . HW #6787 odds
SECTION 3.1FUNCTIONS
•Using function notation HW #3946 ALL
•Finding the domain of a function HW #5160 ALL
•Computing the difference quotient of a given function HW #74,75,77,79, 80 (for
#79, use 3
SECTION 3.5 GRAPHING TECHNIQUES , TRANSFORMATIONS
•Sketch the graph of a function using transformations (shifts, reflections,
stretching, and shrinking)
HW #3561 odds, 6568, 7583 odds
SECTION 6.2ONETOONE FUNCTIONS, INVERSE FUNCTIONS
•Given the graph of a onetoone function f, sketch the graph of the inverse
function f^{1}. HW #4146 ALL
•Find the inverse f^{1} of a given onetoone function f. State the domain and
range of both f and f^{1}. Also, if directed to do so, sketch the graphs of f,
f^{1}, and y=x on the same set of coordinate axes. HW #4969 odds
•Apply inverse functions to real life situations. HW #89, 9194 ALL. Also, try
#95. It is an interesting problem.
SECTION 6.3 EXPONENTIAL FUNCTIONS
•Use transformations to sketch the graph of a function with an exponential term .
Find the domain, range, and horizontal asymptote of each function. HW #3755
odds
• Solve exponential equations. HW #5775 odds
• Solve general problems involving the concept of exponential function. HW #7790
odds
•Graph piecewise defined functions involving exponential terms HW #9094 ALL
SECTION 6.4 LOGARITHMIC FUNCTIONS
•Write an equation in exponential form into logarithmic form and vica versa. HW
#935 odds
•Find the exact value of a logarithmic expression without using a calculator.
•Find the domain of functions with logarithmic terms , HW #3748 ALL
•Sketch the graph of a onetoone function f with logarithmic terms and its
inverse f^{1}. Find the domain , range, and vertical asymptotes.
•Solve logarithmic equations . HW #87111 odds
•Use logarithms to solve real life problems. HW #117133 odds
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