How can you tell, in terms of its graph, whether the absolute value equation has two solutions, one solution,?

Answer 1

If you mean how can you tell if something like
0= /x^3- 20x^2+2/
has x amount of solutions then it is just how many times the graph hits the x-axis, but if you mean how many graphs are there, then if f(x) goes below 0 without absolute value, there will be two with it.

Answer 2

I'm guessing that you mean something like
|x-a| + b = c
In the case where b > c, it has no solution. If b=c there is one solution where x=a. If b < c, then there are two solutions given by
|x-a| = c-b

HTH

Doug

Answer 3

Just look at how many times the graph crosses the x-axis.

Answer 4

one solution has one graph

two solution has two symmetrical graphs.