Question

Which of the following could be an example of a function with a domain (-oo,oo) and a range (-oo,2)? Check all that apply.

A. y= -(3)^x+2

B. y= -(3)^x-2

C. y= -(0.25)^x+2

D/ y= -(0.25)^x-2

Answer 1

Look at A
if x = -2, y = -1/9 + 2 never bigger than 2
if x = +2, y = -9 + 2 goes big -

Look at B
if x = -2, y = -1/9 - 2
if x = +2, y = -9 -2 goes big -

Look at C
if x = -2, y = -1/.125+2
if x = 0, y = 2
if x = +2, -.125+2 approaches 2

Look at D also stays close to 2

A is the only one that goes big negative but is never more positive than 2

Answer 2

Oh, okay. You made it very clear, thanks for the help. :)

Answer 3

You are welcome.