3Cpracticefinal

# 3Cpracticefinal - Name PID TA Sec No Sec Time Math 3C...

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Unformatted text preview: Name: PID: TA: Sec. No: Sec. Time: Math 3C Practice Final Winter, 2011 I expect you can solve any problem given on the first two midterms, so consider those exams as part of this review. updated March 11, 2011 1. (a) Find an equation of the line through the points P = (1 , 2) and Q = (- 3 ,- 4). (b) What is the slope of the line found in (a)? (c) Find an equation of the line perpendicular to the line found in (a) which goes through the origin. (d) Find the center and radius of the circle given by the equation x 2 + 4 x + y 2- 2 y = 1. 2. Let f ( x ) = x 2 , g ( x ) = x + 10 and h ( x ) = 1 / (2 x ). Find (a) f ( x ) /h ( x ) (b) g ( h ( x )) (c) g ( f (2)) 3. Consider the function f ( x ) = x- 1 x + 3 (a) State the domain of f and sketch the graph of f . (b) Find the inverse function f- 1 ( x ). (c) State the domain of f- 1 and sketch the graph of f- 1 . 4. Identify whether the following functions are odd, even or neither: (a) cos( x ) (b) x 2 + 3 x + 5 (c) x 3 + tan( x ) 5. (a) Write an equation for the graph of function...
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3Cpracticefinal - Name PID TA Sec No Sec Time Math 3C...

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