Where is the graph of f(x)=4[x-3]+2 discontinued?

The answer is (b) all integers.

Step-by-step explanation:  The given function is

We are to check at what points, the graph of the above given function is discontinuous.

Since we all dealing with greatest integer function [x], we must know its definition. It is defined as follows.

For all real numbers, x, the greatest integer function, [x] gives the largest integer less than or equal to x.

Therefore, for all the real numbers x, [x - 3] will give an integer. That is, whatever value of 'x' real we take, we will get the value of f(x) an integer. So, at the integral points [x - 3], the graph will be discontinuous.

Thus, the correct option is (b) all integers.

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80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh