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The function y=5(2)^x+3 has a horizontal asymptote where?

2007-06-19 10:54:29 · 3 answers · asked by Physics 101 1 in Science & Mathematics Mathematics

3 answers

A horizontal asymptote means some value the function will approach as x becomes unbounded (infinity or negative infinity).

As x goes to infinity in this function, y also goes to infinity. So this can't be it. It has to approach a definite value.

How about negative infinity? As x goes to negative infinity, y goes to 3 (5^-x goes to 0). y = 3 is your asymptote

2007-06-19 10:58:32 · answer #1 · answered by Alfred Sauce 3 · 0 0

The function y = 5*(2^x) + 3 has a horizontal asymptote where?

Limit as x→ -∞ of {5*(2^x) + 3} = 5*0 + 3 = 3

The horizontal asymptote is the line y = 3.

2007-06-19 18:03:45 · answer #2 · answered by Northstar 7 · 0 0

u need a tudor

2007-06-19 18:00:22 · answer #3 · answered by <Elizabeth > 2 · 0 2

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