7 : 8 : 9=__:12:__ Make it so that the question is even on both sides
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The minimum value of f(4) - f(1) is <u>6</u>.
The maximum value of f(4) - f(1) is <u>12</u>.
In the question, we are given that, 2 ≤ f'(x) ≤ 4 for all values of x.
Taking the given inequality as (i).
We are asked to find the minimum and maximum possible values of f(4) - f(1).
We multiply (i) by dx throughout, to get:
4dx ≤ f'(x)dx ≤ 5dx.
To find this, we integrate (i) in the definite interval [4, 1] with respect to dx, to get:
Thus, the minimum value of f(4) - f(1) is 6.
The maximum value of f(4) - f(1) is 12.
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Answer:
B choice.
Step-by-step explanation:
The graph decreases. Therefore, the slope is in negative. We can rule out A and C choices.
It is very obvious to tell because of steepness. Low steepness = low value
High steepness = high value.
We can also find the slope by using rise/run.
The change of y over the change of x.
Given the coordinate points (0,1) and (4,0). Both points are part of the graph.
Therefore the value of m is - 1/4