Answer :
For the function graph the larger numbers are;
A. f(9) < f(12) B. f(9)−f(6) > f(6)−f(3)
C. (f(6) - f(3))/6-3 < (f(9) - f(3))/9-3 D. f' (3) > f′(12)
How do we identify the larger numbers using the function graph?
A. f(9)...?..f(12)
f(9) is smaller than f(12) since the graph is descending from right to left.
B. f(9) - f(6) ...?.. f(6) - f(3)
f(9) - f(6) > f(6) - f(3) because the graph of the function is decreasing more steeply from 9 to 6 than it is from 6 to 3.
C. (f(6) - f(3))/6-3 ...?... (f(9) - f(3))/9-3
(f(6) - f(3))/6-3 < (f(9) - f(3))/9-3 because the graph of the function is decreasing more steeply from 9 to 6 than it is from 6 to 3.
D. f'(3)...?..f' (12)
The derivative of a function at a point represents the slope of the tangent line to the graph of the function at that point. Since the slope of the graph of the function is decreasing from right to left, the derivative of the function must also be decreasing.
Find more exercises on function graph;
https://brainly.com/question/32810086
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Full question
Consider the graph of the function f(x) shown below. Using this graph, for each of the following pairs of numbers decide which is larger. Be sure that you can explain your answer..
A f(9) ...?.. f(12)
B.f(9) - f(6) 2 ..?.. f(6) - f(3)
c. (f(6) - f(3))/6-3 ...?... (f(9) - f(3))/9-3
D. f'(3) ...?.. f'(12)
