precalc1-graphing

# precalc1-graphing - Graph both ln x(the natural logarithm...

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Graphing Review Problems 1. Polynomials . You should be comfortable graphing polynomials, especially those of degree 2. Start by graphing the following quadratics: (a) x 2 - 4 x (b) x 2 - 2 x + 1 (c) 6 x - x 2 2. Graph the cubic x ( x - 1)( x + 2). 3. More generally, what is the shape of the curve y = x n , when n is a positive integer? Can you tell the diﬀerence between even n and odd n ? 4. Simple Trigonometric Functions Graph the following functions on the same set of axes: (a) sin x (b) sin 3 x (c) sin x 2 (d) 3 sin x 5. Exponentials Graph both e x and 10 x . 6. Inverse Functions
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Unformatted text preview: Graph both ln( x ) (the natural logarithm) and log( x ) (the logarithm base 10). How do these relate to the previous graphs? 7. Graph arcsin( x ). How does this relate to the graph of sin( x )? 8. Simple Rational Functions Graph the following rational functions: (a) 1 x (b) 1 x 2 (c) 1 x 2 +1 9. Use your graphs from the previous problem to graph the following functions: (a) x +1 x ( = 1 + 1 x ) (b) x x-1 ± = 1 + 1 x-1 ² (c) x 2 x 2 +1 ± = 1-1 x 2 +1 ²...
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## This note was uploaded on 03/27/2012 for the course MATH 1a taught by Professor Benedictgross during the Fall '09 term at Harvard.

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