Question

Which of the following functions is graphed below?

Answer 1

Answer: A is correct.

Explanation:

We can see f(x) is piece wise function and break at point x=2

When x<2

f(x) is parabolic whose y-intercept (0,4)

So,
`f(x)=x^2+4`

When
`x\geq2`

f(x) is linear with slope 1

So,
`f(x)=x+4`

A is correct option according to given graph.

`f(x)=\left\{\begin{matrix}x^2+4 & \ \ \ \ \ \ \ x<2\\ x+2 & \ \ \ \ \ \ \ \ x\geq 2\end{matrix}\right.`