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Ratling [72]
3 years ago
5

The graph of g(x)=(0.5)x+4 is shown. Which equation is an asymptote of this function? y = 0 y = 4 x = 4 x = 0

Mathematics
1 answer:
Alexandra [31]3 years ago
3 0

we are given

g(x)=(0.5)^x+4

we can see that

there is no value of x for which g(x) is not defined

so, no vertical asymptote exists

now, we will find horizontal asymptote

\lim_{x \to \infty} g(x)= \lim_{x \to \infty}((0.5)^x+4 )

\lim_{x \to \infty} g(x)= (\lim_{x \to \infty} (0.5)^x+\lim_{x \to \infty} 4 )

\lim_{x \to \infty} g(x)= 0+4

so, we get

horizontal asymptote as

y= 4............Answer

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