Question: Let f left parenthesis x right parenthesis equals short dash x squared plus 21 x on left square bracket short dash 2 comma space 2

Let f left parenthesis x right parenthesis equals short dash x squared plus 21 x on left square bracket short dash 2 comma space 2 right square bracket. Use the IVT to determine if there is a solution to f left parenthesis x right parenthesis equals 20 in the interval between -2 and 2. If so, find the value of c in the interval such that f left parenthesis c right parenthesis equals 20. f left parenthesis x right parenthesis is continuous on left square bracket short dash 2 comma space 2 right square bracket. 20 is between f left parenthesis short dash 2 right parenthesis equals short dash 46 and f left parenthesis 2 right parenthesis equals 38. c equals 1 comma space c equals 20 f left parenthesis x right parenthesis is continuous on left square bracket short dash 2 comma space 2 right square bracket. 20 is not between -2 and 2 c equals 20 f left parenthesis x right parenthesis is continuous on left square bracket short dash 2 comma space 2 right square bracket. 20 is between f left parenthesis short dash 2 right parenthesis equals short dash 46 and f left parenthesis 2 right parenthesis equals 38. c equals short dash 20 comma space c space equals space 1 f left parenthesis x right parenthesis is continuous on left square bracket short dash 2 comma space 2 right square bracket. 20 is between f left parenthesis short dash 2 right parenthesis equals short dash 46 and f left parenthesis 2 right parenthesis equals 38. c equals 1

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