Answer: Hello there!
we have the function f(x) = IxI/x
Then this function can be piecewise writen as:
f(x) = 1 if x > 0
f(x) = -1 if x < 0
because:
suposse that n is a number greater than 0, then:
f(n) = InI/n = n/n = 1
and this is independent of the number n, so for all the positive values of x, we have f(x) = 1
and
f(-n) = I-nI/(-n) = n/(-n) = -1
and again, this does not depend on the value of n, so for all the negative values of x, we have f(x) = -1.
On the other hand, the Heaviside function is defined as:
H(x) = 1 if x>0
H(x) = 0 if x<0
Then the difference is that, when the Heaviside function takes the value of 0 for negative values of x, our function f(x) takes the value of -1 for negative values of x.
Using it's formula, the average rates of change are given as follows:
a) 30 meters per second.
b) -10 meters per second.
<h3>What is the average rate of change of a function?</h3>
The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u> Hence, over an interval [a,b], the rate is given by the following equation:
For item a, taking the data from the table, we have that:
Hence the rate is given as follows:
r = (138 - 0)/(4.6 - 0) = 30 meters per second.
For item b, taking the data from the table, we have that:
Hence the rate is given as follows:
r = (0 - 23)/(11.5 - 9.2) = -10 meters per second.
More can be learned about the average rate of change of a function at brainly.com/question/11627203
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Answer:
79
Step-by-step explanation:
The area of a circle is pi*radius^2; the radius of this circle is 10 (20/2=10). Our area is then 100pi or ~314 square feet. A 2x2 square takes up 4 feet. 314/4 is equal to 78.5, or when rounded, 79
Answer:
y=−3x−22
Step-by-step explanation
To find the perpendicular slope you must flip reciprocals and as well as the signs. Then graph on desmos to see if it passes through (-6,-4)
Answer:
5
Step-by-step explanation:
The square roots of 25 are √25=5 and −√25=−5 since 52=25 and (−5)2=25 . The principal square root of 25 is √25=5 .
