please help. I need to sketch a graph of y=f(x) f(x)=-4x+2
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terenzreignz (terenzreignz):
Graphing lines? :)
OpenStudy (anonymous):
yes please
terenzreignz (terenzreignz):
...|dw:1374336721051:dw|
terenzreignz (terenzreignz):
Graphing lines almost always involve finding two points on the line and just connecting them :)
Typically, the two easiest points to find are the intercepts.
Do you know what intercepts are? ^_^
OpenStudy (anonymous):
yes
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terenzreignz (terenzreignz):
Well then, what is the x-intercept and y-intercept of this line?
OpenStudy (anonymous):
sorry I'm still trying to solve f(x)=-4+2
terenzreignz (terenzreignz):
You mean f(x) = -4x + 2
And yes, that's what I mean, find the intercepts of that line...
OpenStudy (anonymous):
-4 on the x line
terenzreignz (terenzreignz):
not quite...
Tell you what, set x = 0, and whatever value y-gets, that's the y-intercept
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OpenStudy (anonymous):
so i take -4(0)+2
terenzreignz (terenzreignz):
Yup, and the value is...?
OpenStudy (anonymous):
2
terenzreignz (terenzreignz):
And that... is the y-intercept :)
So one of the points on the line is (0,2)
Let's mark that out...|dw:1374337311311:dw|
terenzreignz (terenzreignz):
Now, find the x-intercept.
This time, set f(x) = 0, and then solve for x.
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OpenStudy (anonymous):
-4x+2(0)
terenzreignz (terenzreignz):
No, uhh
f(x) = -4x + 2
now set f(x) = 0
0 = -4x + 2
and solve for x
OpenStudy (anonymous):
x=2
terenzreignz (terenzreignz):
No... try again
OpenStudy (anonymous):
trying -4x+2=0 x=4
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terenzreignz (terenzreignz):
-4x = -2
now divide both sides by -4
OpenStudy (anonymous):
2
OpenStudy (anonymous):
no-2
OpenStudy (anonymous):
i do mean 2
terenzreignz (terenzreignz):
It's neither... come on, if x = 2, then
-4(2) = -2
-8 = -2
not true
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OpenStudy (anonymous):
so i was right with -2...I am horrible with my - signs
terenzreignz (terenzreignz):
-4(-2) = 8 which is still not -2
OpenStudy (anonymous):
sorry i hate algebra
OpenStudy (anonymous):
so x=8 and my lines are (8,0) for x and (0,2) for y
terenzreignz (terenzreignz):
No... the x intercept would be whatever value you get for x in
-4x = -2
which you still haven't solved yet :P
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OpenStudy (anonymous):
-2/1
terenzreignz (terenzreignz):
That's the same as -2?
OpenStudy (anonymous):
sorry
OpenStudy (anonymous):
-4
OpenStudy (anonymous):
wrong
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