When the function $f (x) = 3 {(5)}^{x}$ $f(x) = 3(5)^x$ is changed to $f (x) = 3 {(5)}^{x} + 22$ $f(x) = 3(5)^x + 22$ , what is the effect?

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Answer 1 · 2017-04-27T20:33:42

The original function is an exponential growth function, and so is the new function, but it will be translated up 2 units.

The first function will have a horizontal asymptote at y = 0 and the second function will have a horizontal asymptote at y = 22.
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When the function f(x)=3(5)xf(x) = 3(5)^x is changed to f(x)=3(5)x+22f(x) = 3(5)^x + 22, what is the effect?