Identify the y intercept and asymtote for the exponential function f(x)=3^x+2

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04-08-2017
Mathematics

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Identify the y intercept and asymtote for the exponential function f(x)=3^x+2

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Sxerks Sxerks · Answer 1 · 2017-08-04T13:31:03+02:00

Sxerks Sxerks

04-08-2017

y-intercept occurs at x = 0.
y = 1 + 2 = 3

[tex]f(x) = 3^{x} + 2[/tex]
[tex]\text{Asymptote: } \lim_{x \to \infty} 3^{x} + 2[/tex]
[tex]= 2[/tex]

Thus, there is a horizontal asymptote at x = 2.

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