Mathematics College

Find the domaine and range of each relation. Determine if the relation is a function .

Answers

Answer 1

Answer:

D: {-5, -2, 1, 2}

R: {-4, 0, 3}

The relation is a function

Explanation:

Given:

5) Ordered pairs on a coordinate plane

To find:

the domain, range, and the type of relation

[tex]\begin{gathered} The\text{ domain is the input of a funcion \lparen x values\rparen} \\ The\text{ range is the output of the function \lparen y values\rparen} \end{gathered}[/tex]

To determine the domain and range, we will list the ordered pairs:

(-5, 3), (-2, -4), (1, 0), (2, 3)

The first number in each pair represents the x values (domain), while the 2nd number in each pair represents the y values (range)

The domain: {-5, -2, 1, 2}

The range: {3, -4, 0, 3}

Rearranging and picking one of the repetitions:

The range: {-4, 0, 3}

For a relation to be a function, each input will have only one output.

None of the inputs appears more than once. Hence, each input has only one output. It is a function

Related Questions

The stereo that Dontay bought wasoriginally priced at $199. Dontay boughtthe stereo on sale for 20% off. How muchmoney did Dontay save?

Answers

We are told that Dontax bought the stereo on a sale of 20% off, meaning he will only have to pay 100% -20% = 80% of the price.

Now, 80% of $199 is

[tex]199\times\frac{80}{100}[/tex][tex]=\$159.2[/tex]

Hence the amount of money Dontay saved is

[tex]199-159.2=\$39.8[/tex]

Which is our answer!

Etudier le signe du trinôme :
-3x² +6x+9 sur [-10,10].

Answers

you. aren't. alone.......

Use the distance formula do to determine what type of triangle DEF is if it has coordinates D(2, 1), E(3, 5), F(6, 2). Just write the number you get under the square root symbols in the blank below in order.1. What is the length of DE2. What is the length of EF3. What is the length of DFList your answers for the above length of sides the name what type of triangle is DEF

Answers

Step 1

Draw the triangle DEF

Step 2

State the formula for the distance between two points

[tex]D=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)}^2[/tex]

Step 3

Find the length of DE

[tex]\begin{gathered} DE=\sqrt[]{(3-2)^2+(5-1)^2} \\ DE=\sqrt[]{1^2+4^2} \\ DE=\sqrt[]{1+16} \\ DE=\sqrt[]{17} \end{gathered}[/tex]

Step 3

Find the length of EF

[tex]\begin{gathered} EF=\sqrt[]{(6-3)^2+(2-5)^2} \\ EF=\sqrt[]{3^2+(-3)^2} \\ EF=\sqrt[]{9+9} \\ EF=\sqrt[]{18} \end{gathered}[/tex]

Step 4

Find the length of DF

[tex]\begin{gathered} DF=\sqrt[]{(6-2)^2+(2-1)^2} \\ DF=\sqrt[]{4^2+1^2} \\ DF=\sqrt[]{16+1} \\ DF=\sqrt[]{17} \end{gathered}[/tex]

Step 5

Find out what type of triangle it is.

An isosceles triangle is a triangle that has two sides of equal length.

Since triangle DEF has lines DF and DE to be equal in length, we can conclude that triangle DEF is an Isosceles triangle

Whcih graph shows a function and its inverse A. B. C. D.

Answers

Graph A shows a function and its inverse A. B. C. D.

What is a function and its inverse?

An output is produced by a function after it accepts inputs, applies specific operations to the values, and produces an output. The inverse function works, agrees with the resultant, and returns to the original function An inverse relationship is created when an independent variable is switched out for a variable that depends on a given equation; an inverse relationship may or may not be a function.

Inverse functions, indicated by f-1(x).on, are those in which the inverse of a function is that function itself.

It is common practice to swap the coordinates x and y when calculating an inverse. This new inverse is not necessarily a function, but it is a relation.

To guarantee that the inverse function is also a function, the initial function must be a one-to-one function.

To know more function and its inverse ,visit:

brainly.com/question/18452056

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Researchers watched dolphin groups off the coast of Ireland in 1998 to determine what activities the dolphin groups partake in at certain times of the day. The numbers in table below represent the number of dolphin groups that were partaking in an activity at certain times of days.

Activity Morning Noon Afternoon Evening Total
Travel 6 6 14 13 39
Feed 28 4 0 56 88
Social 38 5 9 10 62
Total 72 15 23 79 189

What is the probability that a dolphin group is partaking in social activities?

Round your final answer to 3 decimal places.

b) What is the probability that a dolphin group is around in the afternoon?

Round your final answer to 3 decimal places.

c) What is the probability that a dolphin group is partaking in social activities given that it is around in the afternoon?

Round your final answer to 3 decimal places.

d) What is the probability that a dolphin group is around in the afternoon given that it is partaking in social activities?

Round your final answer to 3 decimal places.

e) What is the probability that a dolphin group is around in the morning given that it is partaking in social activities?

Round your final answer to 3 decimal places.

f) What is the probability that a dolphin group is around in the morning and is partaking in social activities?

Round your final answer to 3 decimal places.

g) What is the probability that a dolphin group is around in the morning or is partaking in social activities?

Round your final answer to 3 decimal places.

Answers

The probabilities for this problem are given as follows:

a) Dolphin partaking in social activities: 0.328 = 32.8%.

b) Dolphin group is around in the afternoon: 0.122 = 12.2%.

c) Dolphin partaking in social activities given that that is around in the afternoon: 0.391 = 39.1%.

d) Dolphin group is around in the afternoon given that it is partaking in social activities: 0.145 = 14.5%.

e) Dolphin group is around in the morning given that it is partaking in social activities: 0.613 = 61.3%.

f) Dolphin group is around in the morning and is partaking in social activities: 0.201 = 20.1%.

g) Dolphin group is around in the morning or is partaking in social activities: 0.508 = 50.8%.

What is a probability?

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

Hence, for each item in the problem, we have to identify the number of desired outcomes and the number of total outcomes to find the probability.

Item a