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150exam1sp10

150exam1sp10 - Math 150 Midterm 1 Review Problems Section...

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Math 150 Midterm 1 – Review Problems Section 2.1 – What is a Function? In problems (1) through (4), find the following values for each function: 5 ) ( ) 4 ( 3 ) ( ) 3 ( 4 ) ( ) 2 ( 4 4 ) ( ) 1 ( ) ( ) ( ) 2 ( ) ( ) ( ) ( ) 2 ( ) ( ) 2 ( ) ( 2 2 = = + = + = + + x x f x x f x x x f x x x f h x f e x f d x f c f b f a Section 2.2 – Graphs of Function In problems (5) through (8), determine whether or not each equation is a function. 1 ) 8 ( 4 ) 7 ( 1 ) 6 ( 4 3 ) 5 ( 3 2 2 2 2 = = + = + + = xy y x y x x x y In problems (9) through (12), find the domain of each function, locate any intercepts, graph each function by hand, and then find the range of each function using its graph. > < < = < < = < < + = < + = < = 1 1 1 1 2 1 3 2 ) ( ) 12 ( 2 1 1 1 0 ) ( ) 11 ( 3 0 3 0 0 0 3 3 ) ( ) 10 ( 0 0 ) ( ) 9 ( x x x x x x f x x x x x f x x x x x x f x x x x x f Section 2.3 – Increasing and Decreasing Function; Average Rate of Change In problem (13) and (14), use a graphing device to draw the graph of f and state approximately the intervals on which f is increasing and on which f is decreasing. (State each answer correct to 2 decimal places) 2 6 3 12 ) ( ) 14 ( 5 ) ( ) 13 ( x x x f x x x f = =

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