Which graph represents the function over the interval [−3,3] ?
f(x)=⌈x⌉−3

The 3rd graph i.e.) the graph with points (-3,-6), (-2,-5), (-1,-4), (0,-3), (1,-2), (2,-1) and (3,0) represents the function f(x)=[x]-3 over interval [-3,3].

Step-by-step explanation:

The given interval is -3 to 3 and substitute these values in the given function.

The given f(x)=[x]-3,

If x= -3,

f(x)= -3-3.

f(x)= -6.

If x= -2, f(x)= -5.

If x= -1, f(x)= -4.

If x= 0, f(x)= -3.

If x=1, f(x)= -2.

If x=2, f(x)= -1.

If x=3, f(x)=0.

The points are (-3,-6), (-2,-5), (-1,-4), (0,-3), (1,-2), (2,-1) and (3,0).

Plot the points in the graph.

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24