Which of the points A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10) belong to the graph of direct variation y=− 1 2 x?
1 answer:
ANSWER
B(0, 0),
EXPLANATION
The given points are A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10).
The equation of the direction variation is
The point that belongs the graph of the direct variation must satisfy the variation equation.
Note that the graph of direct variation equation passes through the origin therefore the point (0,0) satisfies it.
0=-12(0)
0=0
This is true
The other points do not satisfy this variation equation, hence they do not lie on its graph
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<h2>Answer:</h2>
(a)
(b)
(c)
We are given a function f(x) as :
(a)
We will substitute (x+h) in place of x in the function f(x) as follows:
(b)
Now on subtracting the f(x+h) obtained in part (a) with the function f(x) we have:
(c)
In this part we will divide the numerator expression which is obtained in part (b) by h to get: