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Mathematics 21 Online
OpenStudy (anonymous):

i need help

OpenStudy (anonymous):

OpenStudy (tkhunny):

Two points determine a line. Use (0,0) with each of the other two points and write the equation of that line. After that, consider the problem statement again.

OpenStudy (anonymous):

Did you understand what @tkhunny said?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

In a graph, the y-coordinate is always the function value of x-coordinate For example, in that graph, (3,-2) implies 3=f(-2) Now, the graph consists of two different lines with each line on each side of the origin and passing through origin. So, the graph has two functions corresponding to each line. The left side line represents one function and the right side one represents the other. find the equations of each line and put f(x) in the place of y. Those are the definitions of functions in the graph. Got it?

OpenStudy (anonymous):

Small correction to the second line : For example, in that graph, (-3,2) implies 2=f(-3)

OpenStudy (anonymous):

so f(-3)=2 and f(1)=3

OpenStudy (anonymous):

Yes..and f(0)=0

OpenStudy (anonymous):

The left side line's equation can be found out by using (-3,2) and (0,0) the right side line's equation can be found out by using (1,3) and (0,0)

OpenStudy (anonymous):

i use y-y1=m(x-x1)?

OpenStudy (anonymous):

Left equation : y = (-3/2)x Right equation : y = 3x So, put y=f(x) \[f(x) = (-3/2)x for -3\le x\le0\] \[f(x) = 3x for 0\le x \le 3\]

OpenStudy (anonymous):

My "for" is given as "if" in your question.

OpenStudy (anonymous):

so is this like x/y? hence -3/2

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