Help,please It’s calculus
1 answer:
The function is a continuous function at 2 if the LHL and RHL will be the same as the limit of the function.
<h3>What is continuity of a function?</h3>It is defined as the property of a function in which the function varies continuous, and we plot the graph of a function it doesn't break.
We have a function:
If f(x) is a continuous, then it will follow:
f(2) = 2² - 2 = 4 - 2 = 2
Left-hand limit at 2 = right-hand limit at 2 = 2
Limit at 2 of a function = 2
Using limit, we can check the whether the function is differentiable or not.
Thus, the function is a continuous function at 2 if the LHL and RHL will be the same as the limit of the function.
Learn more about the continuous function here:
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Answer:
The two schools will have the same number of students in 5 years.
Step-by-step explanation:
The number of students for both these schools, after t years, can be modeled by linear functions.
Central High:
Currently has 3000 students.
Enrollment increases at an average rate of 100 students per year.
So after t years, the number of students that Central High will have is:
Washington High:
Currently has 2000 students.
Enrollment increases at an average rate of 300 students per year.
So after t years, the number of students that Washington High will have is:
If enrollments continue to change at the same rate, when will the two schools have the same number of students?
We have to find t for which:
So
The two schools will have the same number of students in 5 years.