The graphs of y=f(x) and y=g(x) are shown. Select all points that are possible solutions to y=f(x) only.

Question

jjuden · Answer

attachment

mathmale · Answer

Notice that graphs f and g are marked in the lower, left-hand corner of your illustration.

Is the line "f(x)," or is the curve "f(x)?"

jjuden · Answer

i think the curve is fx idk

mathmale · Answer

Have you found the graph marked "f"?

nikeboi101 · Answer

you can also use this to help https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&ved=0ahUKEwi8stKjvrvKAhVCGT4KHdeSBcsQFggdMAA&url=http%3A%2F%2Fwww.rasmus.is%2Fuk%2Ft%2FF%2FSu52k03.htm&usg=AFQjCNEczx6RbdGxpEkB9L-3ef5UENxhgA

nikeboi101 · Answer

it gives examples on how to do this

mathmale · Answer

nike:  Thank you for trying to help, but this particular reference does not address the question that @jjuden is working on.  Please re-read that question.

jjuden · Answer

yes

nikeboi101 · Answer

oh ok

mathmale · Answer

@jjuden:  Now follow the curve "f" from left to right.  I see three points marked on this curve.  Which of those three points lie on f ONLY, not on g?

jjuden · Answer

c and b?

jjuden · Answer

or d and b

mathmale · Answer

Remember, we want points that line on graph f(x) ONLY.  Try again.

mathmale · Answer

If a point lies on graph g(x), we do not count it.

jjuden · Answer

so c and b? or is it a and b

mathmale · Answer

Explain why you think A might be a possibility.

mathmale · Answer

Remember:  we want points that lie ONLY on graph f(x).

jjuden · Answer

so would it be just b cause idk

mathmale · Answer

Actually, b and c are correct.  The y-axis doesn't count as a separate graph, at least not in this problem.

Could you verify that b and c are ONLY on graph f(x), and that they are NOT on graph g(x)?

mathmale · Answer

Does B touch graph g?   Does C touch graph g?  Does A touch graph g?

jjuden · Answer

no they dont

jjuden · Answer

a does

jjuden · Answer

thank you for helping my dumb self :)

mathmale · Answer

Right.  So, what's your final answer to this problem statement?  And...you're not dumb!

jjuden · Answer

b and c

mathmale · Answer

The points that are solutions of f(x) are b and c.  Right.  Great!

mathmale · Answer

Points that lie on a graph are "solutions" of the function the graph represents.