Question

Which of the following functions are graphed below

Answer 1

The correct answer is C, y=[x]-6. All I did was plug in some of the points from the line and see if they worked. Like the point (2,-4) when I plug it in to y=[x]-6 it equals out

Answer 2

The equation of given graph is f(x)=[x]-6

C is correct

Explanation:

We are given a graph and to find the equation of graph.

It is a graph of greatest integer function or floor function.

Parent function of greatest integer function:

`f(x)=[x]`

For x = 0 to x= 1 , f(x)=0

For x =1 to x=2 , f(x)=1

We are given a function,

For x = 0 to x= 1 , f(x)=-6

For x = 1 to x= 2, f(x) = -5

If we shift 6 unit down the parent function. We will get original function.

`f(x)=[x]-6`

Hence, The equation of given graph is f(x)=[x]-6