The distance Max's bike moves is directly proportional to how many rotations his bike's crank shaft has
2 answers:
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Answer:
In this problem, we are given the following functions:
and its inverse function:
First of all, we want to calculate . This can be obtained by substituting
x = 2
into f(x). Doing so, we find:
Then we want to calculate . We can do it by substituting
x = 1
into . Doing so,
Then we want to calculate , which can be found by calculating f(2) and then using it as input for
We know that
f(2) = 1
Therefore,
Then we want to calculate , which can be calculated by plugging
x = -2
into . Doing so,
Then we want to calculate ; by substituting
x = 4
into f(x), we find
Finally, we want to find
We know already that
So we have:
Let's pick an arbitrary value of 5.
Let's pick another arbitrary value: 1
Between these two values, the polynomial is continuous. This means for the two polynomial points to be satisfied, there must be at least one root between these two points.
We can either use the Intermediate Value Theorem or Newton's method to make a better approximation from there.
Let's pick another arbitrary value: 1
Between these two values, the polynomial is continuous. This means for the two polynomial points to be satisfied, there must be at least one root between these two points.
We can either use the Intermediate Value Theorem or Newton's method to make a better approximation from there.