Use local linearization to determine whether or not $y = \frac { 1 } { 4 } x + 1$ provides a good estimate of $f ( x ) = \sqrt { x }$ for values of x near 4.If it does not, then determine a better linear approximation.If it does provide a good approximation, use it to estimate $\sqrt { 4.008 }$ .

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The Answer of Use local linearization to determine whether or not $y = \frac { 1 } { 4 } x + 1$ provides a good estimate of $f ( x ) = \sqrt { x }$ for values of x near 4.If it does not, then determine a better linear approximation.If it does provide a good approximation, use it to estimate $\sqrt { 4.008 }$ .

Use Local Linearization to Determine Whether or Not y=14x+1y = \frac { 1 } { 4 } x + 1y=41​x+1

Use Local Linearization to Determine Whether or Not $y = \frac { 1 } { 4 } x + 1$