In: Advanced Math
For the following exercises, graph the transformation of f(x) = 2x. Give the horizontal asymptote, the domain, and the range.
f(x) = 2x − 2
Consider the graph of the function;
f(x) = 2x-2
The horizontal asymptote of the function is determined as follows:
Check horizontal asymptote for x ± ∞;
f(∞) = 2(-∞)-2
= 0
Therefore, the horizontal asymptote is y = 0.
Domain of the graph is set of all real numbers, that is (-∞, ∞).
Range is set of all real numbers greater than 0.
The graph of the function y = 2x-2 is shown below;