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Question

State whether the given statement is true or false.

The graph of y2=4ax represents a function,(xR,yR).


A
True
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B
False
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Solution

The correct option is B False
Graphically:
If we draw a line parallel to y-axis and if it cuts the curve at more than one point, then it is not a function

If we draw a line parallel to y-axis and if it cuts the curve at only one point, then it is a function

Bydefinition: A function is an equation for which any x that can be plugged into the equation will yield exactly one y out of the equation.

Otherdefinition A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

Given curve is parabola whose axis is X-axis,
If we draw a line parallel to the y-axis, it cuts the curve at double points.

Given graph does not represent a function.

325616_212410_ans_3128b09ead1047d9b7eea4ce42e5097f.png

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