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.

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0