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# math5 - Practice problems for midterm 1 1 Find an...

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Practice problems for midterm 1 1. Find an expression for the function y = f ( x ) whose graph is the bottom half of the parabola x + (8 - y ) 2 = 0. 2. A rectangle has parameter 24 m. Express the area of the rectangle as a function A ( l ) of the length l of one side. 3. The monthly cost of driving a car depends on the number of miles driven. In December, it cost \$280 to drive 300 mi and in May it costs 420 to drive 1 , 000 mi. Express the monthly cost C as a function of the distance driven d , assuming that a linear relationship gives a suitable model. 4. Find the domain of the functions g ( u ) = u - 7 - u p ( t ) = t 2 + 1 t 2 - 5 t + 6 h ( s ) = ln( s + 1) + e 2 s s 2 - 4 s q ( r ) = 1 sin - 1 r 5. Find the range of the function h ( x ) = 25 - x 2 . 6. If f ( x ) = x + 6 and h ( x ) = 2 x - 3, ﬁnd a function g such that g f = h . 7. Sketch the graph of y = 2 sin(2 x + π ) - 1. 8. Find the inverse function of

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math5 - Practice problems for midterm 1 1 Find an...

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