Question 985840: I am trying to graph the function  but i'm not sure if i'm supposed to place a horizontal or a vertical asymptote/where to place it, or what points to graph it at. Step by step would be helpful.
I am also supposed to give its domain and range using interval notation.
I think the domain is (1, ∞) but i'm not 100% confident
I think the range is (-∞,∞) but again, not sure. please correct me if i'm wrong.
Help would be extremely appreciated. Thank you so much, in advance!
Found 2 solutions by jim_thompson5910, ikleyn:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! I'm assuming the function is 
You have the correct domain and range. Nice work.
To graph this function, you can plug in various values of x to get corresponding values of y. For example, if x = 2, then y = 0 giving the ordered pair (2,0). If x = 4, then y = 1 giving another point (4,1). Do this for other values of x.
Each (x,y) pair forms a point. Plot a bunch of points and draw a smooth curve connecting the points to complete the graph.
You can use a graphing calculator like TI83 to confirm your graph. If you do not have a graphing calculator, you can use a free one like this one
Note: you'll need to type in log(x-1)/log(3)
Another note: This graph has NO horizontal asymptotes. It has exactly one vertical asymptote and it is x = 1.
Answer by ikleyn(52781)  (Show Source):
|
|
|
