What is its domain?
What is its range?

Write the answer in interval notation.

What Is Its Domain? What Is Its Range? Write The Answer In Interval Notation.

Answers

Answer 1

Answers:

Domain = [-3, 3]

Range = [-1, 2]

=============================================

Explanation:

The domain is the set of all allowed x inputs. Visually, the left-most point is when x = -3, so -3 is the smallest allowed x input. We have a closed circle at this endpoint, so this endpoint x value is included. In contrast, if you had an open circle, then you would exclude the endpoint.

Similarly, we have a closed endpoint at the other side as well when x = 3. This is the largest allowed x value. The domain is the set of x values such that [tex]-3 \le x \le 3[/tex] meaning x is between -3 and 3, including both endpoints. This translates to the interval notation of [-3, 3]. The square brackets say "include the endpoint".

------------

The range is the set of possible y outputs of a function. The lowest the function goes is when y = -1, and the highest is when y = 2. We include both endpoints. The range as a compound inequality is [tex]-1 \le y \le 2[/tex] which converts to the interval notation of [-1, 2]


Related Questions

Four boxes of cookies were sold to a family of five.each box contains 12 cookies if each family member ate 2 cookies from each box what fraction of the original number of cookies is left?

Answers

First lets find the total number of cookies

12*4=48

48 cookies

Number of cookies eaten

5*2=10

10 were eaten

Cookies left

48-10=38

38/48=19/24

19/24 of the cookies are left

Answer:

38 are left

Step-by-step explanation:

List the following from least to greatest: 3, -4, 0, 1, -9

Answers

Answer:

Step-by-step explanation:

-9,-4,0,1,3

Answer: From least to greatest. = -9, -4, 0, 1, 3.

In Prodigy, Luigi's inventory weighs 3 2/3. He is collecting old socks which each weigh 4/3.

Construct an equation that represents the total weight of Luigi's inventory based on how many old socks he collects. Use fractions or decimals as given in the question.

Let the total weight of his inventory be represented as i.
Let the total weight of the old socks collected be represented as s.

i = ? (s) + 3 2/3

What is the total weight of his inventory if he collects 27 books? ( Your final answer should be a decimal)

i = 4/3 (27) + 3 2/3 = ?

Answers

Answer:

the answer should be like 24 sorry if im wrong

Step-by-step explanation:

What is the volume of a sphere with a radius
of 6?
A 721
14471
2161
IN 288rt

Answers

Answer:

the volume is 904.32. that guy I don't know what

A 721

14471

IN 288rt

means

What is an angle?
A. part of a line that has two endpoints
ОО
B. part of a line that has one endpoint
C. two rays that have the same endpoint
O O
D. two rays that have the same length

Answers

Answer:

A .part of a line that has two end points

5. Write in Polar form the following complex numbers
(a) 4+6j

Answers

Answer:

https://www.wolframalpha.com/widgets/view.jsp?id=ecc4c3ee7c6b1f12d078f6541a983c2d

use that it will give you a step by step answer.

Please please help!!!!

Answers

Answer:

7 and 1/4

Step-by-step explanation:

Answer:

The answer is 7 1/4 or 29/4

Step-by-step explanation:

given the formula solve for x.
y - y1 = m(x-x1)

Answers

Answer:

[tex]y - y' = m(x - x') \\ (x - x') = \frac{(y - y')}{m} \\ x = \frac{(y - y')}{m} + x'[/tex]

HELP ME THIS IS SO MANY POINTS AND I WILL GIVE BRAINLIEST!!!

Answers

Answer: (b)

Step-by-step explanation:

Given

[tex]f(x)=x^2[/tex]

Now, [tex]f(x)[/tex] is transformed to [tex]g(x)[/tex]

and [tex]g(x)[/tex] is obtained by replacing [tex]x[/tex] with [tex]\frac{x}{2}[/tex] in [tex]f(x)[/tex]

[tex]\therefore g(x)=\left(\dfrac{x}{2}\right)^2\\\\g(x)=\dfrac{x^2}{4}[/tex]

Plot [tex]f(x)[/tex] and [tex]g(x)[/tex] and it can be observed that domain, range, and vertex is same for both the function.

[tex]f(x)[/tex] is narrower compared to [tex]g(x)[/tex]. Therefore, option (b) puts up the invalid reasoning. Hence option (b) is not a true statement.

Astronomers classified the planets into six sizes with five atmosphere types and four average temperature ranges. How many different planet types are there?

Answers

Fire, ice, and inhabitants

Activity 4:
roup
Evaluate 2x + 5 if:
1. X=5
2. X=4
3. X=-7
4. x = 0
5. x= 13
please anwer it​

Answers

Answer:

1. 15

2. 13

3. -9

4. 5

5. 31

just put the values in the given equation.

:)

CARD #8: Henry says that the two figures will be congruent. A figure on a coordinate plane is dilated by a scale factor that is less than one. Heather says that the two figures will be similar.​

Answers

Answer:

Heather is correct.

Step-by-step explanation:

Two figures are similar if the figures have the same shape but different size

Two figures are congruent if they have the same shape and size.

So, if we dilate a given figure (by any factor different than one) then we are changing the size of this figure.

Finally, a figure and its dilation can't be congruent, as these figures have different size (but still have the same shape, so the figures are always similar)

Then Heather is correct.

If a plate is moving 3.3 cm/yr, what distance [in kilometers (km)] will the plate move in 1 million years?

Answers

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

33 km

3.3cm = 0.000033km (divide by 100,000.

So, 0.000033km/yr.

0.000033 × 1,000,000

=33km

Thanks Hope it helps

Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot? Assume y not-equals 0.

Answers

" StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot "is

(X^7/2)(y^-3/5) which is expressed as Option A (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline)

This is further explained below.

What is an expression?

Generally, An expression, often known as a mathematical expression, is a finite collection of symbols that is well-formed according to principles that are dependent on the context in which the expression is being used.

In conclusion, The expression equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot is

(X^7/2)(y^-3/5) hence  (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) Option A.

Read more about expression

https://brainly.com/question/14083225

#SPJ1

CQ

Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot?

Assume y not-equals 0. (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) (x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline) (x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline) (x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline).

Answer:

A

Step-by-step explanation:

Please help me answer thisss!!

Answers

Answer:

The diamonds question is that you have a 25% chance to get one, and the other one is a 7.7% chance to get a two

Step-by-step explanation:

You divide 52 by 13 or 4, and with the result, you divide 100 by the result, and you get a porcentage

(1,4) (2,7) (3,10) (4,13) find the equation in slope-intercept form.​

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

The way you find slope is change in y over change in x, (as a fraction).

So then your equation is y = 3x because the y value goes up 3 times and the x goes up once (3/1), and then you see what value y has when x = 0 to find the b value, which is one.

Which term contains a coefficient?
m + 3n + p + 3

Answers

the answer is 3n because the 3 is the coefficient

Answer:

3n

Step-by-step explanation:

A coefficient is a number  (integer) which is multiplied with an unknown value (the variable of a single term or the terms of a polynomial).

In this case , n is the variable of a single term and 3 is the coefficient.

Determine the value of x
ASAP! Help!

Answers

Answer:

Step-by-step explanation:

B

90/20=4.5

Which one A B C or D?

Answers

Answer:

Step-by-step explanation:

D

Answer:

D

Step-by-step explanation:

The fraction 5/8
produces a repeating decimal.
___
0.625

True or False

Answers

Answer:

False i just did it

Step-by-step explanation:




PLS DUE RN



WILL GIVE




BRAINLIST

Answers

Answer:

44 in.

Step-by-step explanation:

3 ft 8 in.

1 ft = 12 in.

3 ft = 36 in.

36 in. 8 in.

44 in.

A state in the United States has 193,116 residents living in 22 countries.

[tex]\frac{1}{y} :\frac{22}{193,116}[/tex]

y · 22 = 1 · 193,116

22y = 193,116

22y ÷ 22 = 193,116 ÷ 22

y = 8778

The rate is 8778.

Ya what he said, 44

5 + 0.55x = 10 + 0.75x pls help and explain ​

Answers

Step-by-step explanation:

hope it is helpful to you

X = -25

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.55x + 5 = 0.75x + 10

Step 2: Subtract 0.75x from both sides.

0.55x + 5 − 0.75x = 0.75x + 10 − 0.75x

−0.2x + 5 = 10

Step 3: Subtract 5 from both sides.

−0.2x + 5 − 5 = 10 − 5

−0.2x = 5

Step 4: Divide both sides by -0.2.

−0.2x/−0.2 = 5/−0.2

x = −25

Three factories produce light bulbs to supply the market. Factory A produces 40%, 20% of the tools are produced in factory B and 40% in factory C. 5% of the bulbs produced in factory A, 3% of the bulbs produced in factory B and 4% of the bulbs produced in factory C are defective.A bulb is selected at random in the market and found to be defective. What is the probability that this bulb was produced by factory A?

Answers

Answer:

0.4762 = 47.62% probability that this bulb was produced by factory A

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Bulb is defective.

Event B: Produced by factory A.

Probability of a bulb being defective.

5% of 40%(factory A)

3% of 20%(factory B)

4% of 40%(factory C). So

[tex]P(A) = 0.05*0.4 + 0.03*0.2 + 0.04*0.4 = 0.042[/tex]

Defective and from factory A:

5% of 40%. So

[tex]P(A \cap B) = 0.05*0.4 = 0.02[/tex]

What is the probability that this bulb was produced by factory A?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.042} = 0.4762[/tex]

0.4762 = 47.62% probability that this bulb was produced by factory A

Guys can you help me please :( ASAP

Answers

Answer:

The answer is 25 + 11

Step-by-step explanation:

Hope this helps

Find the measure of a 3.
ts
43
90°
<<
43 = [?]

Answers

The correct answer is 90

What is the range of the data Colin collected?

Answers

Answer:

5

Step-by-step explanation:


PLS HELP WITH THESE TWO QUESTIONS PLSSS
NO LINKS

Answers

Answer:

B for the first one

C for the second one

Step-by-step explanation:

i know probability

PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!

SELECT ALL THAT APPLY

Which of the following are INDEPENDENT events?

a.) You randomly choose 2 socks from a drawer, hoping they will match.

b.) You draw a marble from a bag, replace it, and draw again.

c.) You draw two numbers from 1 to 10 from a hat without replacing the first.

d.) You flip a coin and roll a number cube.

Answers

Answer:

The answer is D.

An event D is said to be independent of another event.

Find the volumes of the solids whose bases are bounded by the circle x^2 + y^2 = 9, with the indicated cross sections taken perpendicular to the x-axis.
a) Squares

Answers

x ^2 + y ^2 = 9   =>   y = y(x) = ± √(9 - x ^2)

Each cross section would be a square with side length equal to the vertical distance between the upper and lower semicircles defined by y(x), which is

√(9 - x ^2) - (- √(9 - x ^2)) = 2 √(9 - x ^2)

The area of each square section is the square of this length,

(2 √(9 - x ^2)) = 4 (9 - x ^2) = 36 - 4x ^2

We get the whole solid for -3 ≤ x ≤ 3, so integrating gives a volume of

[tex]\displaystyle\int_{-3}^3(36-4x^2)\,\mathrm dx=\boxed{144}[/tex]

5 equivalent fractions of 4/8​

Answers

Answer:

2/4 1/2 5/10 6/12 10/20

Step-by-step explanation:

just pick an even denominator and take half of that number for the numerator. This only works because the most basic form of 4/8 is 1/2. This method only works if your selected fraction is equivalent to 1/2.

1/2
2/4
6/12
12/24
50/100

Basically any number that can split evenly like 4/8
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