# Test1 - x f 4(10 pts Find the following infinite limits...

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Name: _____________________ Show All Work!!! 1. (15 pts.) Let the function ) ( x T represent the temperature in Fahrenheit of a turkey, x minutes after it has come out of the oven. a) What units will the derivative be in? b) If the derivative is 15 when 10 = x , what does the derivative tell us? c) Would we expect the derivative to be positive or negative? Why? 2. Given the following graph of f(x) answer the following questions

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a) (5 pts.) Sketch 2 ) 1 ( ) ( - + = x f x g on the graph above. b) (5 pts.) If this graph is the entire graph of f(x) , what is the domain and range of g(x) ? Domain: Range: c) (4 pts.) For what intervals is g(x) continuous? d) (2 pts.) Is g(x) continuous from the right, left or neither at its point of discontinuity? e) (2 pts.) ) ( lim 3 x g x + f) (2 pts.) ) ( lim 3 x g x -
3. (5 pts.) Find the inverse function for 8 ) 1 ln( 3 ) ( - + = x

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Unformatted text preview: x f 4. (10 pts.) Find the following infinite limits. Explain how you get your solutions by writing a sentence or two: a) 3 1 2 lim 2 3-+ +-→ x x x x b) 3 1 2 lim 2 3-+ + + → x x x x 5. (20 pts.) a) Use the limit definition of the derivative to find the derivative (as a function) of 2 3 ) ( x x f = . b) Use your solution to part a to find the equation of the tangent line at the point 4 = x . c) Use your answer from part b to approximate 2 3 3 . 6. (10 pts.) Find all asymptote(s) for 3 1 ) ( 2 +-= x x x f , if there are any. 7. (10 pts.) Find a number a such that the following function is continuous. Don’t just write down a number, show me how you get your value of a : ( 29 ≥-< =-4 1 4 1 1 if 4 if sin ) ( x x a x x x f . USE RADIANS...
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Test1 - x f 4(10 pts Find the following infinite limits...

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