Question

The graph below represents which of the following functions?

Answer 1

The following function is nonlinear

Answer 2

Answer:

$f(x)=\left \{ {{|4-x^2|}\ \ \ \ if\ x<2 \atop {x}\ \ \ \ \ \ \ \ \ if\ x\geq 2} \right$

A is correct

Step-by-step 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.

$f(x)=\left \{ {{|4-x^2|}\ \ \ \ if\ x<2 \atop {x}\ \ \ \ \ \ \ \ \ if\ x\geq 2} \right$

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