Question

Which graph represents the following piecewise defined function?

Answer 1

A graph of the function is shown below.

Answer 2

Solution:

$f(x)=\left\{\begin{matrix}x & \ \ \ \ \ \ \ \ \ \ -2$

Here we have piecewise function wiht interval x<-2 , -2< x <1 and x>1

It is piecewise function because function break at two point x=-2 and x=1

When x<-2 , f(x)=x

We took some value of x less than -2 and then find f(x)

x          -2         -3        -5

f(x)       -2         -3        -5

Now we plot the points on graph and join them to see the graph.

When -2< x <1 , f(x)=-2

It is constant function, f(x) will always -2 in this interval.

When x>1, f(x)=x-3

We take some random value of x greater than 1 and then find f(x)

x           1         2         3          

f(x)        -2      -1          0

Now we plot the points on graph and join then to see the graph.