N a small storage bin, there is a collection of Legos. There are 15 red bricks, 10 yellow bricks, 8 blue bricks and 7 green bric
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Answer:
Yes, the function satisfies the hypothesis of the Mean Value Theorem on the interval [1,5]
Step-by-step explanation:
We are given that a function
Interval [1,5]
The given function is defined on this interval.
Hypothesis of Mean Value Theorem:
(1) Function is continuous on interval [a,b]
(2)Function is defined on interval (a,b)
From the graph we can see that
The function is continuous on [1,5] and differentiable at(1,5).
Hence, the function satisfies the hypothesis of the Mean Value Theorem.
First we take the two points (-7,5) and (-5,9).
Compute the slope:
Then the linear relation may be in the following form
Since the point (-7,5) is on the line, then
The relation is then
.
We check that the other point are on the above line:
We have then a linear relation.
Compute the slope:
Then the linear relation may be in the following form
Since the point (-7,5) is on the line, then
The relation is then
We check that the other point are on the above line:
We have then a linear relation.