Determine Whether the Mean Value Theorem Can Be Applied to the Function

question 137

Multiple Choice

Determine whether the Mean Value Theorem can be applied to the function $f ( x ) = x ^ { 2 }$ on the closed interval $[ 3,9 ]$ . If the Mean Value Theorem can be applied, find all numbers $c$ in the open interval $( 3,9 )$ such that $f ^ { t} ( c ) = \frac { f ( 9 ) - f ( 3 ) } { 9 - ( 3 ) }$ .

• A) MVT applies; \(c = 6\)
• B) MVT applies; \(c = 7\)
• C) MVT applies; \(c = 4\)
• D) MVT applies; \(\mathrm { c } = 5\)
• E) MVT applies; \(c = 8\)

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