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Determine the equation of the asymptote of the function.f(x) = -3 log2^x+4 -5

Determine the equation of the asymptote of the function.f(x) = -3 log2^x+4 -5-example-1

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Solution:

Given the function:


f(x)=-3\log_2(x_+4)-5

To determine the equation of the asymptote, we first plot the graph of the function.

Thus, for various values of x and y, the graph of the function is shown below:

The asymptote is a line such that the distance between the graphed curve and the line approaches zero when the x or y coordinate approaches infinity.

In the above curve, the asymptote is at


x=-4

Hence, the equation of the asymptote is expressed as


x=-4

Determine the equation of the asymptote of the function.f(x) = -3 log2^x+4 -5-example-1
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