The rate of change $f ( x ) = \sqrt { 5 - x }$ from x = 1 to x = 4 is

A)1
B)-1
C) $- \frac { 1 } { 3 }$
D) $\frac { 1 } { 3 }$
E) $\frac { 5 } { 3 }$

Name: The rate of change $f ( x ) = \sqrt { 5 - x }$ from x = 1 to x = 4 is A)1 B)-1 C) $- \frac { 1 } { 3 }$ D) $\frac { 1 } { 3 }$ E) $\frac { 5 } { 3 }$
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Question

The rate of change $f ( x ) = \sqrt { 5 - x }$ from x = 1 to x = 4 is

A)1
B)-1
C) $- \frac { 1 } { 3 }$
D) $\frac { 1 } { 3 }$
E) $\frac { 5 } { 3 }$

Quizplus · Accepted Answer

The rate of change is the difference in function values divided by the difference in x-values: $\frac{\sqrt{5-4} - \sqrt{5-1}}{4-1} = \frac{1 - 2}{3} = -\frac{1}{3}$.

The Rate of Change f(x)=5−xf ( x ) = \sqrt { 5 - x }f(x)=5−x​

The Rate of Change $f ( x ) = \sqrt { 5 - x }$