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Select the points that lie on the function h(x) = 3x2:
(1, 3), (1, 9), (-1, -3), (-1, 3)

Solution:

Given function is

h(x) = 3x2

Points to be on the curve, they must satisfy the equation

Consider (1, 3) :

LHS = 3: RHS = 3(1)2

LHS = RHS

Therefore, (1, 3) lies on the curve

Consider (1, 9) :

LHS = 9 : RHS = 3(1)²

LHS ≠ RHS

Therefore, the point (1, 9) doesn’t lie on the curve

Consider (-1, -3) :

LHS = -3 : RHS = 3(-1)2

LHS ≠ RHS

Therefore, the point (-1, -3) doesn’t lie on the curve

Consider (-1, 3) :

LHS = 3 : RHS = 3(-1)2

LHS = RHS

Therefore, the point (-1, 3) lies on the curve

Hence, the points (1, 3) and (-1, 3) lie on the curve

Select the points that lie on the function h(x) = 3x2:

Summary:

The points that lie on the function h(x) = 3x2 are (1,3) and (-1,3).

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