A=? B=? Help pleease!?

Question

Consider the function f(x)=e(x-5) +8. If we express range of f(x) in the form of (A, infinity) and we write Y=B for the equation of the horizontal assymptote than A=? B=?

Answer 1

Your question is very confusing. Most probably you mean exponential function.

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Your exponential function may be written in any of this form:

f(x) = e^(x-5) + 8
f(x) = exp(x-5) + 8
y = e^(x-5) + 8
y = exp(x-5) + 8

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In x-y coordinate system your exponential function

y = e^(x-5) + 8

has the same shape as exponential function

y = e^x

but is shifted 5 units "right" and 8 units "up".

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Therefore the range of the function

y = e^(x-5) + 8

is

(8, infinity)

and the equation of its horizontal asymptote is

y = 8

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Keep in mind that exponential function is one of the most important functions in mathematics and has many applications in practical life.

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