Solve the quadratic equation.......12x^2+178x-40
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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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