Answers
Domain: (-∞, ∞)
Range: (-∞, 2]
A function is a relation in which no two ordered pairs have the same first component (inputs/x-values/domain) and different second components (outputs/y-values/range).
In determining whether a given relation is a function, we need to ask ourselves, does every first element (or input) correspond with EXACTLY ONE second element (or output)?
In the case of an absolute value function, its relation is a function because each input corresponds to exactly one output. To demonstrate, I performed a Vertical Line test to show why it is a function.
The Vertical Line Test (VLT) allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function. As the attached graph of the absolute value function, EACH vertical line drawn crosses the graph only once. This graph passes the VLT, making it a function.
20.)
The set of first components (x-coordinates) in the ordered pairs is the DOMAIN of the relation.
The set of second components (y-coordinates) is the RANGE of the relation.
Domain: {-2, -1, 0, 1}.
Range: {4, 3, 2, 1, 0}.
The given relation is NOT a function. As you can see from the given diagram, the input value of 2 corresponds to two output values: 4 and 0.
Please mark my answers as the Brainliest if you find my explanation helpful :)
Related Questions
Select all expressions that are equivalent to -4(x + 2) – 2x + 4.
a.
-6x – 4
b. 4x + 2 – 2x + 4
C.
- 10x
d. -4x + -8 - 2x + 4
e. -4X – 2x - 8 + 4
Answers
Answer:
A,D,E
Step-by-step explanation:
-4(x + 2) – 2x + 4
=-4x-8-2x+4 D
=4x-2x-8+4 E
=-6x-4 A
Hope it helps!
What is the most accurate definition for FACTORS?
Answers
Answer:
A number that can go into another number without a remainder.
Step-by-step explanation:
Answer:
actor definition, one of the elements contributing to a particular result or situation: Poverty is only one of the factors in crime.
I need with this and please show workkk
Answers
Answer:
1. ∠1 = 120°
2. ∠2 = 60°
3. ∠3 = 60°
4. ∠4 = 60°
5. ∠5 = 75°
6. ∠6 = 45°
Step-by-step explanation:
From the diagram, we have;
1. ∠1 and the 120° angle are corresponding angles
Corresponding angles are equal, therefore;
∠1 = 120°
2. ∠2 and the 120° angle are angles on a straight line, therefore they are supplementary angles such that we have;
∠2 + 120° = 180°
∠2 = 180° - 120° = 60°
∠2 = 60°
3. Angle ∠3 and ∠2 are vertically opposite angles
Vertically opposite angles are equal, therefore, we get;
∠3 = ∠2 = 60°
∠3 = 60°
4. Angle ∠1 and angle ∠4 an=re supplementary angles, therefore, we get;
∠1 + ∠4 = 180°
∠4 = 180° - ∠1
We have, ∠1 = 120°
∴ ∠4 = 180° - 120° = 60°
∠4 = 60°
5. let the 'x' and 'y' represent the two angles opposite angles to ∠5 and ∠6
Given that the two angles opposite angles to ∠5 and ∠6 are equal, we have;
x = y
The two angles opposite angles to ∠5 and ∠6 and the given right angle are same side interior angles and are therefore supplementary angles
∴ x + y + 90° = 180°
From x = y, we get;
y + y + 90° = 180°
2·y = 180° - 90° = 90°
y = 90°/2 = 45°
y = 45°
Therefore, we have;
∠4 + ∠5 + y = 180° (Angle sum property of a triangle)
∴ ∠5 = 180 - ∠4 - y
∠5 = 180° - 60° - 45° = 75°
∠5 = 75°
6. ∠6 and y are alternate angles, therefore;
∠6 = y = 45°
∠6 = 45°.
4 + 2x 2 + 3y + 7 – x 2 + 2y simplify
Answers
Answer:
[tex]x^{2}[/tex] + [tex]5y[/tex] + [tex]11[/tex]
Step-by-step explanation:
On monday , 60% of tue costomers who boight gas at a gas station made additional pirchases there were 25 costomers who bought gas .How many of these costomers made additional purchaces
Answers
Answer:
15 customers
Step-by-step explanation:
Given data
Total Number of customers= 25
60% of 25 customers made an additional purchase
Hence the number of customers that made additional purchase is
=60/100*25
=0.6*25
=15customer
Hence 15 customers made additional purchase
Can someone please help me with this math problem please:):)
Answers
Answer:
4800cm²
Step-by-step explanation:
20x30x8=4800
April ought some sports drinks and slices of pizza for her friends. She bought 3 more sports drinks than slices of pizza. If her total was $21.25, how many sports drinks did she purchase?
(1 sports drink is $1.75, one pizza slice is $2.75)
{System of Operations}
Answers
s= p+3
(number of sports drinks= s)
(pizza slices= p)
Multiply the two binomials.
(3x + 5)(4x - 1)
HELP PLS
Answers
Answer:
12x² + 17x - 5
Step-by-step explanation:
Given
(3x + 5)(4x - 1)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(4x - 1) + 5(4x - 1) ← distribute parenthesis
= 12x² - 3x + 20x - 5 ← collect like terms
= 12x² + 17x - 5
I need help with my homework
Answers
The perimeter of a rectangle is 16x – 6. If the length is
5x + 2, what is the width?
Answers
Answer:
3x + 1
Step-by-step explanation:
5x + 2 × 2 = 10x + 4
do this take 16x - 6
you get 6x + 2
then divide by 2 to get the answer 3x+1
Answer:
w = 3x - 5
Step-by-step explanation:
Perimeter of a rectangle formula:
P = 2(l + w)
16x - 6 = 2(5x + 2 + w)
16x - 6 = 10x + 4 + 2w
2w = 16x - 6 - 10x - 4
2w = 6x - 10
w = 3x - 5
Find the Greatest Common Factor of 25c2 and 10w2
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{25c^2: 1,5,25,c,\& \ c}[/tex]
[tex]\mathsf{10w^2: 1,2,5,10,w,\& \ w}[/tex]
[tex]\large\textsf{GCF: \underline{5} because that is the HIGHEST factor both numbers share}\\\large\textsf{together}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: the \bf GCF (\underline{G}reatest \underline{C}ommon \underline{F}actor) is \huge 5}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The ships kitchen stocks 1 3/5 quarts of ice cream for every 1/4 cake. There are 10 cakes in the kitchen. How many quarts of ice cream are there?
Answers
Answer:
it should be 11.85 if it's not I do not know what is the answer to it
Answer:
actually the answer is 64
Step-by-step explanation:
Please help me asap
Answers
Find the output y when the input x is -5
y=?
Answers
Answer: y=7
Step-by-step explanation: looking at the graph when x is -5 y= 7
What are four key terms that can be used to describe Islam
i'm slightly in a rush
It is due at 2:00 pm and it is currently 1:34
Answers
Answer:
Each of the four principles (beneficence, nonmaleficence,justice and autonomy) is investigated in turn.
Step-by-step explanation:
Solve the following equation for x.
Answers
Answer:
Step-by-step explanation: what’s the equation?
Ms. Young acquired a loan of $40,000 at her local bank. The loan has a simple interest rate of 6% per year. What is the amount of interest that Ms. Young will be charged on the loan at the end of 5 years.
Answers
Answer:
12.000
Step-by-step explanation:
40000x6= 240000/100= 2400x5
A school ordered a trapezoidal activity table as shown in the figure. Find the area of the table. SHOW ALL
WORK!!!
60 mm
14 in
SOT
Answers
Answer:
A=630 in^2
Step-by-step explanation:
Triangles: there are two equal triangles so we can treat them as one rectangle
A = 15 * 14 = 210
Rectangle:
A=30 * 14 = 420
A_total = 210 + 420 = 630 in^2
Each of the figures are similar. Find the missing length.
Answers
Answer:
7
Step-by-step explanation: the rule is to divide by in this case. 21 / 3 is 7
Answer:
? = 7 m
Step-by-step explanation:
6/18 = ?/21
18? = 126
? = 7
What is your fav? Look down
Answers
what is the range of it
Answers
Answer:
6
Step-by-step explanation:
Can I please have brainliest :)
Petra is making donuts by stamping circles in dough using a pastry stamp with a diameter of 3 inches. For the donut hole, she stamps out a circle using a pastry stamp that has a diameter of 1 inch.
How many square inches of dough are left to make the donut after the hole has been removed?
Answers
Answer:
2 inches would be left
Step-by-step explanation:
need help with please
Answers
2x=8x-6
2x-8x=-6
-6x=-6
x=1
Answer:
(1,2)
Step-by-step explanation:
So, if y= 2x...
2x= 8x-6
-6x= -6
x= 1
y=2x
y= (2)(1)
y=2
(1,2)
If you roll two dice, what is the probability of landing on the numbers 3 and 6?
Answers
1/6 chance to get a 6
1/6 * 1/6 = 1/36
1/36 chance to get a 3 and a 6
Answer:
2/36 or 1/18
Step-by-step explanation:
rolling two dice produces 36 outcomes
rolling a 3 and a 6 is one outcome
rolling a 6 and a 3 is a second outcome
-3x + 5 ¾ + 12x - 2.25
if you answer this it is worth 100 points
Answers
Answer: 9 x + 7 /2
Step-by-step explanation:
Answer:
8 + 9x
Step-by-step explanation:
This is an algebraic expression. Our job here is to simplify it by combining like terms: combine the x terms and then combine the constants:
-3x + 5 ¾ + 12x - 2.25, after combining the x terms, is
5 ¾ + 9x - 2.25
Next, combine the constants. It's easier to convert -2.25 to -2 1/4 and then
add this 2 1/4 to 5 3/4:
8 + 9x
Rewrite the expression, the quotient of k decreased by 4 and 9, using the division symbol and as a fraction.
Answers
Answer:
(k - 4) ÷ 9
(k - 4) / 9
Step-by-step explanation:
k decreased by 4 = k - 4
quotient of k decreased by 4 and 9
= (k - 4) ÷ 9 (using division sign)
Or
= (k - 4) / 9 (as a fraction)
IDENTIFICA EL VOLUMEN DE CADA UNA DE LAS SIGUIENTES FIGURAS
Answers
Answer:
Não falo espanhoooooooooooooooool
GIVING BRAINLIEST AND THE REST OF MY POINTS!!!!PLS HELP:(
Which images below are scalene triangles?
A) Triangles A and D
B) Triangles B and D
C) Triangles A and C
D) Triangles C and D
Answers
Answer:
B
Step-by-step explanation:
A man buys a washing machine whose price VAT (value added Tax ) is Birr 175. lts VAT is charged at 15 % ,how much did the man actually pay?
Answers
9514 1404 393
Answer:
Birr 1341.67
Step-by-step explanation:
The tax is 15% of the price (p), so we have ...
0.15p = 175
p = 175/0.15 = 1166.67
When the tax is added, the total comes to ...
1166.67 +175 = 1341.67
The man actually paid Birr 1341.67.
[tex] - 3p - 10 > 14[/tex]
................
Answers
Answer:
p < -8
Step-by-step explanation:
i hope this helps :)