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Use a Graphing Calculator to Graph the Function Using the Given

Question 93

Multiple Choice

Use a graphing calculator to graph the function using the given viewing window. Use the graph to decide if the function
is one-to-one. If the function is one-to-one, give the equation of the inverse function.
- f(x) =x33x2x+3;[2,4]f ( x ) = x ^ { 3 } - 3 x ^ { 2 } - x + 3 ; [ - 2,4 ] by [20,20][ - 20,20 ]


A) one-to-one; f1(x) =x33xf ^ { - 1 } ( x ) = \sqrt [ 3 ] { x - 3 } - x
B) not one-to-one
C) one-to-one; f1(x) =x33f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x - 3 }
D) one-to-one; f1(x) =x23x+33\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \mathrm { x } ^ { 2 } - 3 \mathrm { x } + 3 }

Correct Answer:

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