Question

The graph below represents which of the following functions?

Answer 1

`f(x)=\left \{ {\ \ \ \ if\ x<2 \atop {x}\ \ \ \ \ \ \ \ \ if\ x\geq 2} \right`

A is correct

Explanation:

The given graph break at point x=2. It would be piece wise function.

• For left side of x=2, graphs is parabolic and y is always positive.

`y=|4-x^2|\ \ \ \ if\ \ x<2`

• For right side of x=2, graphs is straight line and slope is positive.

`y=x\ \ \ \ if\ \ x\geq 2`

Now we write as piece wise function.

`f(x)=\left \{ {\ \ \ \ if\ x<2 \atop {x}\ \ \ \ \ \ \ \ \ if\ x\geq 2} \right`

The given graph is combination o parabola and straight line which breaks at x=2