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PB7 - 4 Sketch the graph of a function that meets the...

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MATH 30 PROBLEMS OF THE WEEK SET 7 These problems are due at the beginning of class on Tuesday November 17. 1. Let . Find () s i n h ( l n) fx x = () fx and express your answer without any logarithmic, exponential or hyperbolic functions. 2. Find a linear approximation to () t a n h fx x = at ln3 x = . Use this approximation to estimate tan . h3.1 3. Use the graphing steps outlined in your text to sketch the graph of - . 2 () c o s
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Unformatted text preview: 4. Sketch the graph of a function that meets the following criteria: ( ) f x is defined and continuous for 1 2 x − ≤ ≤ 1 1 1 ( 1) 1 (1) 2 (2) 3 (0) 1 3 2 lim ( ) lim ( ) 1 lim ( ) x x x f f f f f f x f x f x + − + →− → → − = = = = ⎛ ⎞ = ⎜ ⎟ ⎝ ⎠ ′ = −∞ ′ = − ′ = +∞ ( ) f x has a local minimum at x = ( ) f x has a local maximum at 1 2 x =...
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