math 125 problems3 - MATH 125 PROBLEM SESSION#3 Section 1.8...

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Selected problems were taken from Blitzer’s PreCalculus -2 -1 1 2 3 -2 -1 1 2 3 -2 -1 1 2 -2 -1.5 -1 -0.5 0.5 1 1.5 2 MATH 125 PROBLEM SESSION #3 Section 1.8 1. Find ( ( )) and ( ( )) and determine if each pair of functions and are inverses of each other. ( ) and ( ) 2. Find an equation for ( ) , the inverse function, and verify that your equation is correct by showing that ( ( )) and ( ( )) . a) ( ) b) ( ) c) ( ) d) ( ) 3. Which graphs represent functions 4. Use the graph shown to draw a graph of the that have inverse functions? the inverse function 4. Sketch the inverse of each of the functions graphed below (for convenience, the line y = x is included): 5. Find an equation for ( ) , graph f(x) and ( ) on the same graph, and use interval notation to give the domain and range of and . ( ) . 6. The function 3 ) ( 2 x x f is not one-to-one. Restrict the domain of f so that its inverse is a function. Find the inverse and state the restriction on the domain of its inverse. 7. To find the inverse of y = f ( x ), the variables x and y are interchanged. Explain the effect of interchanging x and y on the graph of f ( x ).
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