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.

$f(x)=\left\{\begin{matrix}x^2+4 & \ \ \ \ \ \ \ x$