Find all the critical numbers of the function $f ( x ) = 2 x ^ { 2 } - 8 x + 7$ .
A) -7
B) $- \frac { 7 } { 2 }$
C) 2
D) None

Name: Find all the critical numbers of the function $f ( x ) = 2 x ^ { 2 } - 8 x + 7$ . A) -7 B) $- \frac { 7 } { 2 }$ C) 2 D) None
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Question

Quizplus · Accepted Answer

Critical numbers of a function occur where its derivative is zero or undefined. For $f(x) = 2x^2 - 8x + 7$, the derivative is $f'(x) = 4x - 8$. Setting this equal to zero gives $4x - 8 = 0$, which solves to $x = 2$.

Find All the Critical Numbers of the Function f(x)=2x2−8x+7f ( x ) = 2 x ^ { 2 } - 8 x + 7f(x)=2x2−8x+7

Find All the Critical Numbers of the Function $f ( x ) = 2 x ^ { 2 } - 8 x + 7$