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

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

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.

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.

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

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.

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.

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!

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