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
stepladder [879]
3 years ago
15

Use the table to determine the degree of the power function.

Mathematics
1 answer:
valkas [14]3 years ago
5 0

9514 1404 393

Answer:

  3

Step-by-step explanation:

The x-values in the table are evenly-spaced, so we can determine the degree of the function by looking at successive differences of the f(x) terms.

f(x): -23, -4, 3, 4, 5, 12, 31

first differences: 19, 7, 1, 1, 7, 19

second differences: -12, -6, 0, 6, 12

third differences: 6, 6, 6, 6

The third differences are constant, so the function values can be matched by a <em>third degree</em> polynomial.

_____

<em>Additional comment</em>

The first differences are found by subtracting the function value from the next one. Likewise, the second differences are found by subtracting each first-difference value from the next one. An so on for the third differences.

The level at which the differences are constant is the degree of the polynomial that will match the function values. (Compare this to what you know about an arithmetic sequence, where first differences are constant and the sequence is described by a linear (degree 1) equation.)

You might be interested in
What is 500,000,115 written in standard form
neonofarm [45]

<u>Answer:</u>

<u>The answer to five hundred million, one hundred fifteen in standard form is actually 500,000,115 because five hundred million in standard form is 500,000,000 and one hundred fifteen in standard form is 115.</u>

3 0
3 years ago
Read 2 more answers
Compound inequality that represents all the numbers between -4 and 6
KatRina [158]
You can write it as:
-4≥x≤6

*The '≥' and '≤' just means that it is greater than or less than but it can still be equal to the number you are comparing it to.

Hope this helps! :)
6 0
3 years ago
What is 0.194 repeating as a fraction
laiz [17]
Convert to a fraction by placing the decimal number over a power of 10. So the awnser is 97/500
I hope I helped you



4 0
3 years ago
I WILL GIVE BRAINLIEST PLEASE ANSWER ASAP
Sveta_85 [38]

Answer:

There's no dot plot.

Step-by-step explanation:

I'll answer it if you can give me a picture though...

5 0
3 years ago
Read 2 more answers
Using elimination solve x+4y=-8 and x-4y=-8
Vika [28.1K]
Subtract the two equations: 8y=0 
y=0
x=-8
8 0
3 years ago
Other questions:
  • Solve x3 – 25<br> Please HELP
    13·2 answers
  • Terry drove 310 miles in 5 hours at a constant speed. How long would it take him to drive 403 miles at the same speed?
    11·2 answers
  • R=9+3s<br>what is r if s=6
    12·2 answers
  • 2. What is the product of 4 2/3 and 11 1/4?
    10·1 answer
  • The length of a rectangle is five times its width. The perimeter of the rectangle is at most 96 cm.
    5·2 answers
  • Solve for x. Determinants
    12·1 answer
  • What s 5346 x 7256 =
    12·1 answer
  • Factor this polynomial completely.
    13·2 answers
  • PLEASE HELP!!!!!!!What has to be true if you want to solve a quadratic?
    13·1 answer
  • Please find the mean,median,mode, and range!!!<br><br> will give brainliest
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!