Find the horizontal asymptote of the following exponential function:f(x)=6(3)x−6y= ?
Question
Find the horizontal asymptote of the following exponential function:f(x)=6(3)x−6y= ?
Solution
The horizontal asymptote of an exponential function is determined by the constant term in the function. In this case, the function is f(x) = 6(3)^x - 6.
The horizontal asymptote is the value that the function approaches as x approaches positive or negative infinity. For exponential functions, this is typically the constant term.
In this function, the constant term is -6. Therefore, the horizontal asymptote of the function f(x) = 6(3)^x - 6 is y = -6.
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