Find the Domain (interval notation), Range (interval notation), and Horizontal Asymptote. Show step by step work.

Question

𝑓(𝑥) = 2^𝑥 − 4

Find the Domain (interval notation), Range (interval notation), and Horizontal Asymptote. Show step by step work.

What is f(x) when x is -2,-1,0,1,2, and 3? Show step by step work

Answer 1

The domain is all reals

Range is (-4, infinity); As x--> -infinity 1/2^x --->0, so the function limits at -4

x y

-2 -3.75

-1 -3.5

0 -3

1 -2

2 0

3 4