The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function. Which of the following equations represents that function? A. h(x)=x^2+2
B. h(x)=0.5x^2+1.5
C. h(x)=2x^2
D. h(x)=x+2

Given:

The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function.

To find:

The function.

Solution:

In option A,

Putting x=0, 1, 2, 3 respectively, we get

The function passes through the points (0,2), (1,3), (2,6), and (3,11). So, is the required function.

In option B,

At x=0,

So, option B is incorrect.

In option C,

At x=0,

So, option C is incorrect.

In option D,

At x=2,

So, option D is incorrect.

Therefore, the correct option is A.

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d

step-by-step explanation: