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
choli [55]
3 years ago
13

answer to #10 and #13. can’t figure out how to use interval notation to write domain and range for graphs.

Mathematics
1 answer:
Lyrx [107]3 years ago
8 0
Interval notation is used to write a set of real numbers from one value to another value.
On the left, you start with left parenthesis or left bracket.
Then you follow by two numbers separated by a comma.
You then finish with a right parenthesis or right bracket.
To include a number, use a square bracket.
To exclude a number use parenthesis.
To write the set of numbers, you need to list the smallest number in the set followed by the largest number in the set. An interval is always stated with two numbers, from the smallest in the set to the largest in the set. The numbers are always separated by a comma.

Examples:

1) All numbers from 6 to 10, including 6 and 10.
Algebra: 6 <= x <= 10
Interval: [6, 10]
Notice brackets since both 6 and 10 are included in this interval.

2) All number from 5 to 20, including 5 but not including 20.
Algebra 5 <= x < 20
Interval: [5, 20)
Bracket with 5 means include 5. Parenthesis with 20 means 20 is not included.

3) All numbers greater than or equal to 7.
Algebra: x >= 7
Interval: [7, ∞)
The 7 has a bracket because it is included. Infinity always has parenthesis.
With the infinity symbol, always use parenthesis, not square bracket.

4) All numbers less than -5.
Algebra: x < - 5
Interval: (-∞, 5)

Now for your problems.

10.
This is a line. Both the domain and range all all real numbers.
That means the interval is from negative infinity to positive infinity.
(-∞, ∞)
Both the domain and range are that same interval, all real numbers, from negative infinity to positive infinity.

13.
The domain is all real numbers as you can see the x-coordinates extend left forever and right forever. The domain is the same interval as the domain and range of problem 10.

The range is zero and all positive numbers.
You can think of it a all values of y such that y is greater than or equal to zero. Notice that zero is included in the interval.

[0, ∞)

Since zero is included, we use a left bracket, not left parenthesis.
With infinity, we alyways use parentheses, not brackets.
You might be interested in
Which function has the greatest starting value?. . A.. xy. 1−3. 2−8. 3−13. . . B.. y = 3x – 8. . C.. 8x + 4y = 16. . D.. A linea
nasty-shy [4]
The problem ask to choose among the following functions in the given choices that has the greatest value and the best answer among the following function is letter D. a linear function that goes through point 2,0 and point 0,2. I hope you are satisfied with my answer 
5 0
3 years ago
Can u help me find the Answer
den301095 [7]

-20x-16

= -4(5x + 4)

I think 4 ×-5 = -20x

4×-4 = -16x

7 0
3 years ago
Find the mean of the data in the dot plot below.
salantis [7]

The mean of the following dot plot:

Mean: 3

Step-by-step explanation:

0 x 1 = 0

3 x 1 = 3

6 x 1 = 6

(we only add the numbers that only has a dot on the number in the dot plot)

So:

Mean: 0 + 3 + 6 = 9/3 = 3

Read more on Brainly.com - brainly.com/question/16754217#readmore

this was my previous answer from your other question

7 0
2 years ago
Read 2 more answers
Four people enter their names into a drawing. The winner receives one of two different prizes that are randomly selected. The tr
galina1969 [7]
A) (-4,2π/3)
b) (4,4π/3)
c) (-2,π/3)
d) (2,5π/3)
7 0
2 years ago
Leanne multiplied 8x4.3 and got 32.24
Ket [755]
The correct answer is 34.4
3 0
2 years ago
Read 2 more answers
Other questions:
  • Line AB is Perpendicular to line BC. A=(-3,2) and C=(2,7). Which of the following could be the coordinates of B? Select all that
    13·2 answers
  • Help :(((((((((( please
    7·2 answers
  • Graph the line passing through the given point and having the indicated slope. through (3​, ​negative 2​) with slope minus−three
    14·1 answer
  • Michael Jackson's "Thriller" album has sold 29,000,000 copies. This number can be written as n x 107.
    15·2 answers
  • I just need A,B,C I do t get it
    10·1 answer
  • Find the radical equivalent of 27^2/3
    6·2 answers
  • Practice Problem #3: If you translate figure A 8 units to the left to form
    9·1 answer
  • Plz plz pls help pls
    7·2 answers
  • 2x2-2x-12=0 show expression in factored form show work what do the solutions mean
    13·2 answers
  • Examples of ratios that equal 18 to 4
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!