Mathematics Middle School

graph f(x)=|x+1|+3 then find the domain and range

mainly looking at how id find the coordinates!

Answers

Answer 1

Domain is all real numbers. Range is

Step-by-step explanation:

The function  is a transformation of the parent function  by moving the function up by 3 units.

So, the graph of the function is shown below.

From the graph, it is clear that the  values has no limitation and hence can take any real values. Domain is the set of all possible  values.

So, domain is the set of all real numbers.

Range is the set of all possible values for  for the given domain.

From the graph, the minimum value of  is at the point (. So, the minimum value of y is 3. The  value then goes on increasing towards infinity.

Therefore, range is a real number greater than or equal to 3.

So, range is  or  

Related Questions

Which of the following sets of ordered pairs represents a function?

A: {(−4, −3), (−2, −1), (−2, 0), (0, −2), (0, 2)}
B: {(−5, −5), (−5, −4), (−5, −3), (−5, −2), (−3, 0)}
C: {(−4, −5), (−4, 0), (−3, −4), (0, −3), (3, −2)}
D: {(−6, −3), (−4, −3), (−3, −3), (−2, −3), (0, 0)}

Answers

Answer:

A set of ordered pairs represents a function if each input (first coordinate) corresponds to one and only one output (second coordinate). In other words, there can't be two different second coordinates for the same first coordinate.

Using this definition, we can determine which of the sets of ordered pairs represents a function:

A: {(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}

The input -2 has two different outputs (-1 and 0), and the input 0 also has two different outputs (-2 and 2). Therefore, this set does not represent a function.

B: {(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3, 0)}

The input -5 has four different outputs (-5, -4, -3, and -2), but each of the other inputs has only one output. Therefore, this set does not represent a function.

C: {(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}

The input -4 has two different outputs (-5 and 0), but each of the other inputs has only one output. Therefore, this set does not represent a function.

D: {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}

Each input has only one output, so this set represents a function.

Therefore, the set of ordered pairs that represent a function is D: {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.

Set C {(−4, −5), (−4, 0), (−3, −4), (0, −3), (3, −2)} does not represent a function because it has two ordered pairs with the same x-coordinate (-4). The other sets represent functions.

Please help i'm so confused

Answers

Answer:

2/3

Step-by-step explanation:

because 1 1/2 x 2/3 = 2 1/4

Answer:

1 1/2 = 3/2

2 1/4 = 9/4

3/2 divided by 9/4 = 3/2 multiplied by 4/9 = 2/3

EXPLANATION : when we have 2 fractions and we have to divide them , we have to reverse the fraction that we are dividing by and multiply it. sometimes we can simplify the fractions , sometimes we can't. for example , with 3/2 multiplied by 4/9 we simplified 3 and 9 and the 2 and the 4 which left us with 1/1 ( 1 ) multiplied by 2/3 , which gave us the answer 2/3 .

Hope I helped!

In the US, 42% of people have type A blood, 10% have type B, 4% have type AB, and 44% have type O. People with type Band type AB blood can receive type B blood. What percentage of people can receive transfusions of type B blood?

Answers

Answer: 14%

Step-by-step explanation:

10+4=14

According to the information given, people with type B and AB blood can receive transfusions of type B blood.

So, the percentage of people who can receive transfusions of type B blood is the sum of the percentage of people with type B and AB blood, which is:

10% + 4% = 14%

Therefore, 14% of people can receive transfusions of type B blood.

Jaden made a rectangular sign that is 1.4 meters long and 1.2 meters wide to post on the wall of his store. How many square meters of wall does the sign cover? The answer is 1.68, but to solve the problem, you need to find 1.4 x 1.2(which it is 1.68). Estimate the area of wall that the sign will cover. Explain your thinking please.

Answers

To estimate the area of the wall that the sign will cover, we can use some rounding techniques to simplify the calculation.

First, we can round the dimensions of the sign to the nearest whole number to make the multiplication easier. Rounding 1.4 to 1 and 1.2 to 1, we can estimate that the sign covers approximately 1 square meter of wall.

This estimation assumes that the sign is placed directly on the wall with no gaps or overlaps. In reality, the actual area of wall covered by the sign may be slightly larger or smaller depending on the installation method and any spacing between the sign and the wall.

It's important to note that while estimation can be useful for getting a rough idea of the answer, it's not always accurate and should not be relied upon for precise calculations. In this case, using the actual dimensions of the sign to find the area of the wall covered (1.4 x 1.2 = 1.68 square meters) gives a more accurate result.

Five balls, A, B, C, D, and E, weigh 30g, 50g, 50g, 50g, and 80g each. Which ball weighs 30g?

Answers

Answer:

A weighs 30 because it is always on the higher side

Brody calculated the area of a square to be 16/36
square foot.
Which shows the side length of the square?

Answers

Answer:

Step-by-step explanation:

Area of a square = length²

If the area of a square is given, in order to determine the length, find the square root of the area.

√16 / 36 = 4/6 foot

Can someone help me and answer this

Answers

If d represents the number of days, you can substitute 1 for d because you are trying to find how many minutes he practices per day.

The new equation would be m=60(1)

Then you just solve for m to find how many minutes and the answer is 60.

Bo practices 60 minutes per day.

Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.



Determine the equation of the line of fit.

y = 5x + 60
y = 5x + 70
y = 10x + 60
y = 10x + 70

Answers

In slope-intercept form (y = mx + b), m represents the slope (rise/run) and b represents the y-intercept.

Let's look at the graph and pick two points, (2, 70) and (4, 80) and use slope formula, y2 - y1 / x2 - x1
80 - 70 / 4 - 2
10 / 2
5
The slope of this line is 5.

To find the y-intercept, we look where the line crosses through the y-axis or the vertical line.
The y-intercept is (0, 60) or 60

If we plug these numbers into slope-intercept form, we get y = 5x + 60

Your answer is y = 5x + 60
Other Questions
______ theory believes that law violators may have suffered damage to their personalities early in their development that renders them powerless to control their impulses. When the function f(x) is divided by 3x + 1, the quotient is 3x 4x 1and the remainder is -10. Find the function f(x) and write the result instandard form. 1 example in the film scream 1996 that brings a surprising amount of comedy under what circumstances may it make sense not to prepare a business forecast? group of answer choices the forecast horizon is 40 years. no data is readily available. the future will be no different from the past. there is no consensus among informed individuals. the industry to forecast is undergoing dramatic change. a two-digit code used in addition to the procedure code to indicate circumstances in which the procedure differs in some way from that described is called a Qu frase describe la foto?Un vestido para beb, rayado y de mangas largas.Una falda cuadriculada para beb.Un vestido para beb, estampado y de mangas largas. a carving in metal that is soaked with acid, inked, and stamped on paper As a planet orbits a star, it makes a big ellipse, but its gravity has a similar effect on the star, causing the star to make a small star. this is called true or false: the more value an individual places on information to be learned, the more effective and efficient the individual becomes in the learning process. Triangle PQR has vertex coordinates at P(4, 0), Q(4, 3), R(5, 1). If the triangle is translated so that Q(4, 5), determine the translation direction and number of units. 8 units down 8 units up 8 units to the right 8 units to the left a tank contains 60 kg of salt and 2000l of water. a solution of a concentration 0.015 kg of salt per liter enters a tank at the rate 9l/min. the solution is mixed and drains from the tank at the same rate. (a) what is the concentration of our solution in the tank initially? (b) find the amount of salt in the tank after 3.5 hours. (c) find the concentration of salt in the solution in the tank as time approaches infinity. what services can safely be located inside the network demilitarized zone (dmz)? group of answer choices c) internal application(used by employees only) servers e) all of the above a) corporate web servers united states v. stein addressed the question of whether the constitutional rights of the defending accountants were violated when the government pressured their former employer into ending its policy of paying attorney fees. how did the court rule? Refer to one or more details from the text to explain the disagreement between the speaker and his father over fruit. Base your answer both on evidence that is directly stated and ideas that you infer from clues in the text. Sydney was vaccinated against COVID-19 six months ago. Recently she was a close contact of an infected individual so she went and got tested. It came back positive but Sydney feels fine other than a little fatigued. After two days she tested negative. Which immune cells are likely responsible for Sydney's quick and painless recovery? a road perpendicular to a highway leads to a farmhouse located 1 1 mile away. an automobile traveling on the highway passes through this intersection at a speed of 45mph. 45 mph . how fast is the distance between the automobile and the farmhouse increasing when the automobile is 9 9 miles past the intersection of the highway and the road? the distance between the automobile and the farmhouse is increasing at a rate of miles per hour. In object-oriented programming, a(n) ______ is an object that has been created from an existing template. a. instance b. property c. method d. class. Why is the class surprised when Mrs. Mayhew says that Rebecca will tell them abouuddy? RL.4.1 In order to study the cause and effect relationship between two variables, a researcher must perform what type of study ? A. correlationalB. descriptiveC. experimentalD. meta-analysisof study? question content areathomlin company forecasts that total factory overhead for the current year will be $15,500,000 with 250,000 total machine hours. year to date, the actual factory overhead is $16,000,000 and the actual machine hours are 330,000 hours. the predetermined factory overhead rate based on machine hours isa.$62 per machine hourb.$50 per machine hourc.$48 per machine hourd.$45 per machine hour