Answer:
<h2>Function is y = x.</h2><h2>Domain:Step-by-step explanation:
In the given image, the line passes through (-1, -1) and (1, 1).
Let the equation of the line is , where m is the tangent of the line and c is a constant.
Putting the co-ordinates of the points in the equation, we get and
From the two equations we get, c = 0 and m = 1.
Hence, the function is y = x.
Domain is .
Range is
Answer:
d
Step-by-step explanation:
Given y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of proportion
To find k use the condition y = when x =
, then
= k(
)² =
k ( multiply both sides by 8 )
1 = 2k ( divide both sides by 2 )
k =
y = x² ← equation of proportion
When y = , then
=
x² ( multiply both sides by 2 )
9 = x² ( take the square root of both sides )
x = ± = ± 3
with positive value x = 3 → d