Using the graph below, select all statements that are true

The correct options are:

A.   f(-3.4)= -4

D.  The graph is a graph of greatest integer function.

The graph is  a graph of the greatest integer function or the floor function.

i.e. any number which lie between two integers takes the value that of the least integer.

and the integer value gives the resultant as the same number.

A)

f(-3.4)

We know that:

  -3.4 lie between -4 and -3 on the number line.

and also -4 < -3

Hence, f(-3.4)= -4

Hence, option: A is correct.

B)

f(4.9)

We know that:

4.9 lie between 4 and 5 on the number line.

Also   4<5 on the number line.

Hence,  f(4.9)=4

Hence, option: B is incorrect.

C)

The graph is not one-one.

Since, there are many x's for which the function value is same.

and for the function being one-one the value of the function at each x must be different i.e. no two x have the same function value.

Hence, option: C is incorrect.

D)

This is the graph of the greatest integer function.

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5