Begin by graphing f(x)=3x.

Question

Begin by graphing

f(x)=3x.

Then use transformations of this graph to graph the given function. Be sure to graph and give the equation of the asymptote. Use the graph to determine the​ function's domain and range. If​applicable, use a graphing utility to confirm your​hand-drawn graphs.

h(x)=3x−2+2

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Part 1

Graph

h(x)=3x−2+2

and its asymptote. Graph the asymptote as a dashed line. Use the graphing tool to graph the function.

Part 2

Find the equation of the asymptote for

h(x)=3x−2+2

using the graph.

enter your response here

​(Type an​ equation.)

Part 3

Observe the graph and find the domain of

h(x)=3x−2+2.

enter your response here

​(Type your answer in interval​ notation.)

Part 4

Observe the graph and find the range of

h(x)=3x−2+2.

enter your response here

​(Type your answer in interval​ notation.)

Answer 1

There is no limiting factor on this graph, the domain and range are both all real numbers, for X and Y. Since the graph keeps going towards infinity in all directions, there is no number that it approches such as log₁₀(4x) where the vertical asymptote is zero. As in it approaches zero all the time, but does not touch it.

Hope this helps!