1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rodikova [14]
3 years ago
8

Is floor(x) periodic?

Mathematics
2 answers:
diamong [38]3 years ago
4 0

If you look at the graph of y = floor(x), you'll see a stairstep pattern that climbs up as you read from left to right. There are no vertical components to the graph. There are only horizontal components.

The graph is not periodic because the y values do not repeat themselves after a certain x value is passed. For instance, start at x = 0 and go to x = 3. You'll see the y values dont repeat themselves as if a sine function would. If you wanted the function to be periodic, the steps would have to go downhill at some point; however, this does not happen.

Conclusion: The function floor(x) is <u>not</u> periodic.

Ugo [173]3 years ago
4 0

Answer:

No

Step-by-step explanation:

A periodic function has a period T such that, for every x, we have

f(x+T)=f(x)

In this case, it would mean that there exists a number T such that, for every x,

\lfloor x+T\rfloor = \lfloor x \rfloor

but we can always choose a value for x that is near enough (i.e. less than T) an integer. For example, if T=0.2, we can choose x=0.9 (which is 0.1 away from the next integer, which is less than 0.2).

This choice implies that x+T and x don't share the same integer part, and thus their floor is different:

\lfloor x+T\rfloor = \lfloor 0.9+0.2\rfloor =\lfloor 1.1\rfloor=1

whereas

\lfloor x \rfloor=\lfloor 0.9 \rfloor=0

You might be interested in
___,36 ,108 ,324 ,972
hjlf
12

First figure out of it is a arithmetic or geometric sequence, in this case it is a geometric sequence because you have to multiply, not add to find the next number.

Divide one number, I'll pick 324 by the number before it, 108, you get three.

Now divide 36 by 3, you get 12.

To check, multiply 12 by 3, you get 36, multiply that by 3, you get 108, and so on and so forth.
3 0
3 years ago
Find the slope of the function f ( x ) = 5x/2 + 3, by the definition of limit. Express answer as a fraction using the "/" key as
musickatia [10]

\huge{\boxed{\frac{5}{2}}}

Slope-intercept form is f(x)=mx+b, where m is the slope and b is the y-intercept.

\frac{5x}{2}=\frac{5}{2}x, so change the equation to represent this. f(x)=\frac{5}{2}x+3

Great! Now the function is in slope-intercept form, so we can just see that m, or the slope, is equal to \boxed{\frac{5}{2}}

3 0
3 years ago
One plus a number y is no more than -13
lana [24]
1+y>-13. I'm assuming that you're reffering to wanting an equation by your question. 
3 0
3 years ago
What shape is created by a cross-section of a triangular prism cut perpendicular to the bases?
Butoxors [25]

Answer:

Its a triangle .And the question says triangular

7 0
3 years ago
During a solar eclipse, what is causing the earth’s view of the sun to be darkened?
Serggg [28]

Answer:

the moon blocks light from the sun by coming between the earth and the sun

7 0
3 years ago
Read 2 more answers
Other questions:
  • A peregrine falcon can fly 322 kilometers per hour. How many meters per hour can the falcon fly
    11·1 answer
  • the ratio of the number of girls on a basketball team to the number of boys on the team is 5:4.what fraction of the players on t
    13·2 answers
  • The difference in the X coordinates of two points is three and the difference in the Y coordinate is two points is six what is t
    10·1 answer
  • If an hourglass takes an average of 1 hour to empty a full cycle, what probability of time does it take longer than 72 minutes i
    14·1 answer
  • Please help with 3! i don’t know how to graph it or work it out
    5·1 answer
  • Suppose the sales tax rate in your area is 7.5%. Complete the explanation of how to determine the total cost, including tax, of
    8·2 answers
  • Help this is confusing
    10·1 answer
  • HELP PLEASE WILL GIVE BRAINLIST PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
    11·2 answers
  • Tom has $52.
    9·2 answers
  • What is the latter of A- B=
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!