For the function f ' ( 5 ) for f ( x ) 3 x 1 2 x 9 approximate f ' ( a ) in the following ways ( Round your answers to four decimal places ) ( a ) Use f ( a h ) f ( a ) h with h 0 0 0 0 1 ( b ) Graph the function on a graphing calculator Then zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see

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Question: For the function f ' ( 5 ) for f ( x ) = 3 x + 1 2 x - 9 approximate f '

For the function

f^{'} (5)

for

f (x) = \frac{3 x + 1}{2 x - 9}

approximate

f^{'} (a)

in the following ways.

(

Round your answers to four decimal places.

)

(

)

Use

\frac{f (a + h) - f (a)}{h}

with

h = 0.0001 .

(

)

Graph the function on a graphing calculator. Then zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see.

For the function f ' ( 5 ) for f ( x ) = 3 x + 1

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