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Mathematics 12 Online
OpenStudy (anonymous):

Can someone help? I attached a screen shot of the question since it includes a graph!

OpenStudy (anonymous):

OpenStudy (whpalmer4):

Do you know the vertical line test?

OpenStudy (anonymous):

no..

OpenStudy (whpalmer4):

|dw:1395173821246:dw| Basically, if you can draw a vertical line at any point on the graph and have it cross the curve more than once, you don't have a function. A function is a unique relationship between each value of x and the corresponding value of y. If there is any value of x for which there can be multiple values of y, it is not a function.

OpenStudy (whpalmer4):

Does the relationship in your graph meet the vertical line test? Or is there a point where you can draw a vertical line that crosses the curve more than once?

OpenStudy (anonymous):

it passes

OpenStudy (whpalmer4):

Very good. Now on to the somewhat more involved parts.

OpenStudy (anonymous):

ok =)

OpenStudy (whpalmer4):

Do you understand the concepts of domain and range?

OpenStudy (anonymous):

kinda...pretty rusty..havent done this stuff in a while

OpenStudy (whpalmer4):

well, the domain is all the values the independent variable (x, here) can take on, and the range is all the values the dependent variable (y) can take on. Do you see anything to suggest that x can't be any number?

OpenStudy (anonymous):

5 or -9?

OpenStudy (whpalmer4):

the (5,-9) is just the coordinates of the vertex there...

OpenStudy (anonymous):

oh..

OpenStudy (whpalmer4):

does it look like there is any value of x that we can't get to? there clearly are some values of y that we can't reach if the graph keeps going in the direction of those arrows...

OpenStudy (anonymous):

umm im unsure..maybe no?

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