Question

The graph below represents which of the following functions?

Answer 1

The answer is: [A]:
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Explanation: This is the only answer choice that makes sense, since this answer choice includes the following:
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x<2 ; x ≥ 2 ; which the graph (attached) clearly demonstrates.
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Note: It is criminally simple, eh?
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Answer 2

The correct option is A.

Explanation:

From the given graph it is clear that the graph it divided in two pieces, so it is piece-wise function.

We have two different function one is for x≥2 and another is for x<2 because we have an open circle on x=2.

From the graph it is clear that the function is linear for x≥2 and it is directly proportional to x.

`F(x)=x` for x≥2

This function is represent by only option A. The function of option A is

`f(x)=\begin{cases}|4-x^2| & \text{ if } x<2 \\ x & \text{ if } x\geq 2 \end{cases}`

From the given graph it is clear that the y-intercept of the graph is 4.

The y-intercept of F(x) in option A is

`|4-(0)^2|=4`

Therefore the correct option is A.