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# Select the points that lie on the function h(x) = 3x^{2}:

(1, 3), (1, 9), (-1, -3), (-1, 3)

**Solution:**

Given function is

h(x) = 3x^{2}

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) = 3x^{2}:

**Summary:**

The points that lie on the function h(x) = 3x^{2} are (1,3) and (-1,3).

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