Question

Which function has a range of y < 3? y = 3 (2) Superscript x y = 3 (3) Superscript x y = negative (2) Superscript x Baseline + 3 y = (2) Superscript x Baseline minus 3

Answer 1

Answer:

  y = negative (2) Superscript x Baseline + 3

Step-by-step explanation:

An exponential function has a range of y > 0. In order for it to have a range of y < 3, it must be reflected across the x-axis (given a negative multiplier) and must be translated upward 3 units.

That is, for some exponential function y = b^x, you must have something of the form ...

  y = -a·b^x +3

Only one answer choice has this form:

  $\boxed{y=-2^x+3}$