What if the Exponent is an OUTPUT?

Author:
Tim Brzezinski
Topic:
Algebra, Exponent, Exponential Functions, Functions, Function Graph, Logarithm, Logarithmic Functions

(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 has a horizontal asymptote at because it was impossible to raise 2 to any exponent and get a negative output. Does the graph of or 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 ?

Select all that apply
  • A
  • B
Check my answer (3)

What is the range (set of all outputs) of the function ?

Select all that apply
  • A
  • B
Check my answer (3)

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