What if the Exponent is an OUTPUT?

(1) Move the LARGE POINT on the xAxis anywhere you want. (2) Press ANIMATE. (3) Press RECORD TRACE. Repeat steps (1)-(3) in that order for many times.

Recall the graph of [math]y=2^x[/math] has a horizontal asymptote at [math]y=0[/math] because it was impossible to raise 2 to any exponent and get a negative output. [br][br]Does the graph of [math]x=2^y[/math] or [math]y=\log_2\left(x\right)[/math] have any asymptote? If so, what kind? and what would its equation be?

What is the domain (set of all allowable inputs) of the function [math]y=\log_2\left(x\right)[/math]?

[math]\left(-\infty,\infty\right)[/math] [math]\left(0,\infty\right)[/math]

What is the range (set of all outputs) of the function [math]y=\log_2\left(x\right)[/math]?

[math]\left(-\infty,\infty\right)[/math] [math]\left(0,\infty\right)[/math]

Information: What if the Exponent is an OUTPUT?