Question

Answer the following questions about the graph below.
What is the x-intercept(s)?
Is the point (3, 2) on the graph?
What is the domain?

(see attached graph)

Answer 1

x intercept=1
Yes, (3,2) is on the graph.
Domain looks like x>2 or x<2

Answer 2

you do this problem with your eyes, there is nothing to compute. locate the point (3,2) in the picture. you see that the function (the curve) passes right through it. this meas that (3,2) is on the graph of the function

Answer 3

if you call this the graph of
\[y=f(x)\] it also means
\[f(3)=2\] because that is how you graph a function

Answer 4

awesome thank you so much!

Answer 5

as for the "x-intercept" this is another eyeball problem. look to see at what point the function crosses the x - axis

Answer 6

looks like it is right there at (1,0) so that is the x - intercept. again this means that
\[f(1)=0\]

Answer 7

as for the domain, this is all possible inputs, in other words all places on the x - axis where the function exists. you can see from the picture that the function is not defined for x = 2. you would say that it has a "vertical asymptote" there, and so the domain is all numbers except x = 2

Answer 8

Thank you so much for your help.

Answer 9

yw