Asked by James
were suppose to see if its a function or not and i don't get these problems can you explain it to me?
1) X=15
2) y=3x+2y
1) X=15
2) y=3x+2y
Answers
Answered by
Damon
If there is one and only one value for the dependent variable in the domain then it is a function.
x = 15 is not a function because there are an infinite number of y values along the vertical line x = 15
however y = 3x+2y (I assume not a typo with that second y) is
y = -3x
which is a straight line with one value of y for every x. Therefore y is a function of x
x = 15 is not a function because there are an infinite number of y values along the vertical line x = 15
however y = 3x+2y (I assume not a typo with that second y) is
y = -3x
which is a straight line with one value of y for every x. Therefore y is a function of x
Answered by
James
if i were to graph it (question2)would it be on the negative side or positive side
Answered by
Damon
Both James. That line goes from the upper left to the lower right, passing through (0,0)
Answered by
James
yes but i still don't get how you got that (1st james)whats the coordinates
Answered by
Damon
Well you wrote
y = 3x+2y
(I still wonder if it is not a typo, check the book to see if that second y term should really be just 2 and not 2y)
I subtracted y from both sides to get
0 = 3 x + y
then subtracted 3x from both sides to get
y = -3x
Now that is a straight line through the origin with a slope of -3
y = 3x+2y
(I still wonder if it is not a typo, check the book to see if that second y term should really be just 2 and not 2y)
I subtracted y from both sides to get
0 = 3 x + y
then subtracted 3x from both sides to get
y = -3x
Now that is a straight line through the origin with a slope of -3
Answered by
Damon
try several values o x
like
x = - 1, then y = -3*-1 = 3
x = 0, then y = -3*0 = 0
x = +1, then y = -3*1 = -3
like
x = - 1, then y = -3*-1 = 3
x = 0, then y = -3*0 = 0
x = +1, then y = -3*1 = -3
Answered by
James
(1st james) that means to make a parabola with a slope of -3
Answered by
Damon
It is a line. There is no x^2 in it so it is not a parabola.
It is of form
y = m x + b, a line
where m, the slope is -3 and b is zero.
It is of form
y = m x + b, a line
where m, the slope is -3 and b is zero.
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