For the following function, state:

i. the domain and range

ii. the y-intercept, and

iii. the horizontal asymptote

f(x)=(2)x−7

2 answers

error i mean f(x)=(2)^x-7
domain is all reals
since 2^x > 0, 2^x-7 > -7, so the range is (-7,∞)

I expect you can do the intercepts, right? Just set x=0 or y=0.