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
WINSTONCH [101]
3 years ago
11

what is a linear function and a nonlinear fuction and how can you tell if the ordered pairs go to them

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0

9514 1404 393

Answer:

  • linear: slope between any two points is the same
  • non-linear: slope between two points may differ

Step-by-step explanation:

A function is a linear function if the slope between any two ordered pairs is the same as it is between any other two. That is, the ordered pairs of a linear function will all fall on the same line when they are graphed.

__

A nonlinear function is one that is not linear. That is, its points do not all fall on the same line when graphed. Slopes between different pairs of points may differ.

_____

<em>Detailed Example</em>

If you are given two tables to compare, it is easiest if the x-values (inputs) are separated by a constant amount. For example, x = -2, 0, 2, 4. These all differ by 2. Then the y-values (outputs) of a linear function will all differ by the same quantity. For example, outputs 10, 15, 20, 25 for the above inputs would correspond to a linear function. This one is y = 2.5x +15.

If the output values for that same set of inputs do not have constant differences, then the function is nonlinear. For example, outputs 10, 15, 21, 27 have differences of 5, 6, 7, so correspond to a nonlinear function. This one happens to be y = (x^2 +22x +120)/8.

__

If the input values are not uniformly spaced, then you can check to see if the slope between one pair of points is the same as the slope for the next pair, and so on. The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

For our first table, the first pair of points (-2, 10) and (0, 15) are on a line with slope ...

  m = (15 -10)/(0 -(-2)) = 5/2

Of course, when the calculations are repetitive, it is convenient to use a spreadsheet or calculator to do them. See the attachment for the calculations for this example.

You might be interested in
The letter x represents the units digit of the five-digit number 1571x. If the five-digit number is divisible by 6 and x is not
Usimov [2.4K]


1572/6 = 262 which is an integer so x could be 2

X could also be 8 because 1578/6 is 263

4 0
3 years ago
Louiza changes £320 into Euros. £1 is Worth 1.14 euros. How many euros does she receive?​
Goshia [24]

Answer:

she received 364.80 euros

Step-by-step explanation:

4 0
3 years ago
Please answer this correctly
miv72 [106K]

Answer:

24

Step-by-step explanation:

Its the first model in purple. There are 6 students that represent a quarter of the class, so there is 6*4 = 24 students total.

5 0
3 years ago
Read 2 more answers
1b. $1 6​− 1 3​ Lin said the value of this expression is $ 1 6​. Is she correct? Explain or show your reasoning to prove your an
Brrunno [24]

Answer:

No she is not correct

Step-by-step explanation:

She is not correct because “value of expressions” mean the result which for this it is 16-13 =3 and she is wrong. please mark me brainly! Hope this helps! :D

4 0
3 years ago
How do I solve problems like this? <br><br> X + 1/2 = 4/6
andrezito [222]

Answer:

1/3

Step-by-step explanation:

pic bleow

also can u help or someone

draw three cells in parallel, two light bulbs (loads) in series, with one switch.

5 0
2 years ago
Other questions:
  • Suppose M is the midpoint of line FG.
    8·1 answer
  • The school, park and movie theater form a right triangle when shown on a map. The longest distance is between the school and the
    7·1 answer
  • How do you answer 64 divided by 2.56
    5·2 answers
  • Katie has to drive 15 miles east and 36 miles north to get to her aunt's house. Which of the following equations could be used t
    13·1 answer
  • PLEASE HELP!! what is the units digit of 23^23<br> HURRY! PLEASE answer in 1 MINUTE!<br> Thanks!
    12·1 answer
  • Answer sheet for math mystery case of the superbad superhero
    15·1 answer
  • The product of 3 and y decreased by 7
    6·1 answer
  • Please I need this ​
    11·1 answer
  • Pls pls pls tell me what is the correct answer?
    10·1 answer
  • 1111111111111111111111
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!