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2 answers:
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Considering the given function and the asymptote concept, we have that:
- The vertical asymptote is of x = 25.
- The horizontal asymptote is of y = 5.
- The end behavior is that as
.
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity. Hence it also gives the end behavior of the function.
In this problem, the function is:
.
The vertical asymptote is found as follows:
x - 25 = 0 -> x = 25.
The horizontal asymptote is found as follows:
.
Hence the end behavior is that as .
More can be learned about asymptotes at brainly.com/question/16948935
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The linear function that models the data in the table is
The table of values is given as:
x y
-4 -6
-1 -1
0 1
2 4
3 7
The linear equation is calculated using:
So, we have:
Evaluate the differences
Hence, the linear function that models the data in the table is
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