Find the point on the graph of the function that is closest to the point. f(x)=x2 (2,1/2)
The graph below represents the problem statement pictorially:
From the graph it is apparent that point B(2, 1/2) does not lie on the curve. The graph also reveals that point B is closer to point C on the curve than point A (2,4).
The coordinates of point C can be found from the equation of the curve y = x2. . The value of Y at point c is 1/2 . therefore the value of x will be:
y = x2
1/2 = x²
⇒ x = 1/√2
x = 0.707
The closest point to point B (2, 1/2 ) is point C which is (1/√2, 1/2).
Find the point on the graph of the function that is closest to the point. f(x)=x2 (2,1/2).
The point on the curve closest to (2, 1/2) is the point (1/√2, 1/2).