Using the graph below select all statements that are true

a. this is the graph of the greatest integer function

b. f(4.5)=5

c. this graph is one to one

f. f(0)=0

e f(1.4)=1

we will select each options and then verify it

option-A:

we know that

greatest integer function is  for all real numbers, x, the greatest integer function returns the largest integer. less than or equal to x

Here , we can see that between 0 to 1 ... then value of y=0..which is less than 1

so, this is TRUE

option-B:

f(4.5)=5

since, this is greatest integer function

so, for x=4.5 , y should be 4

so, this is FALSE

option-C:

Since, this does not satisfy horizontal line test

so, it is not one to one

so, this is FALSE

option-D:

we can see that

f(0)=0

when x=0 , y=0

we are given point at origin

so, this is TRUE

option-E:

we can see that

f(1.4)=1

Since, it is greatest integer function

So, when x=1.4 and y=1

so, this is TRUE

A. This is the graph of the greatest integer function

D. f(0)=0

and

E. f(1.4)=1

are all right.

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step-by-step explanation:

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i believe the correct answer is b.