Question

Question 2 (9 marks) The graph of y = f(x), where $f(x) = \frac{4x}{x+1}$ for $x \ge 0$, is shown below. (4, $\frac{16}{5}$) The slope of the chord shown on the graph represents the average rate of change of f(x) for the interval from x = 0 to x = 4. (a) Find the slope of the chord. (2 mark) (b) Interpret the value of f'(4). (1 mark) (c) Using first principles, find f'(4) for $f(x) = \frac{4x}{x+1}$ (6 marks)

          Question 2 (9 marks)
The graph of y = f(x), where $f(x) = \frac{4x}{x+1}$ for $x \ge 0$, is shown below.

(4, $\frac{16}{5}$)

The slope of the chord shown on the graph represents the average rate of change of f(x) for
the interval from x = 0 to x = 4.
(a) Find the slope of the chord.
(2 mark)
(b) Interpret the value of f'(4).
(1 mark)
(c) Using first principles, find f'(4) for $f(x) = \frac{4x}{x+1}$ 
(6 marks)

Question 2 (9 marks)
The graph of y = f(x), where f(x) = (4x)/(x+1) for x ≥ 0, is shown below.

(4, (16)/(5))

The slope of the chord shown on the graph represents the average rate of change of f(x) for
the interval from x = 0 to x = 4.
(a) Find the slope of the chord.
(2 mark)
(b) Interpret the value of f'(4).
(1 mark)
(c) Using first principles, find f'(4) for f(x) = (4x)/(x+1)
(6 marks)

Added by Joshua S.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

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Solved by Expert Satyam Gupta

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1) The slope of the chord represents the average rate of change of f(x) for the interval from x = 0 to x = 1. Show more…

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need help for the questions below, thank you. Question 2 marks) The graph ofy = f (x), where f (x) = for x 2 0,is shown below. 1 +1 38) The slope of the chord shown on the graph represents the average rate of change of f (x) for the interval from x = 0 t0 x = Find the slope of the chord: mark ) Interpret the value of f' (4). mark) Using first principles; find f' (4) for f (x) = 4 marks)