1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AleksandrR [38]
3 years ago
5

Sketch the graph of the function f(x) = x + |x|.

Mathematics
1 answer:
masha68 [24]3 years ago
5 0

Answer:

The absolute value can be graphed using the points around the vertex (0, 0), (-2, 0), (-1, 0), (1, 2), (2, 4).

Step-by-step explanation:

To find the x coordinate of the vertex, set the inside of the absolute value x equal to 0. In this case, x = 0.

Replace the variable x with 0 in the expression.

y = (0) + |0|

PS: The absolute value is the distance between a number and zero. The distance between 0 and 0 is 0.

y = 0 + 0

y = 0

The absolute value vertex is (0, 0).

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation: (-∞, ∞)

Set-Builder Notation: {x|x ∈R}

For each x value, there is one y value. Select few x from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.

Substitute the x value -2 into f(x) = x + |x|. In this case, the point is (-2, 0).

y = 0

Substitute the x value 1 into f(x) = x + |x|. In this case, the point is (1, 2).

y = 2

Substitute the x value 2 into f(x) = x + |x|. In this case, the point is (2, 4).

y = 4

You can find the graph in the attachment.

You might be interested in
Suppose you have a $15 coupon that can be used on any purchase over $100 at your favorite clothing store. The discounted price o
victus00 [196]
Given that a coupon for $15 off will be applied on purchases over $100, the given discounted price of the jacket is $203. Since this is the discounted price, then it should be the price after the coupon has been used. To find the retail (or original) price, we simply add 15 back to 203. So the retail price should be $218.
6 0
3 years ago
Read 2 more answers
What is the total amount of 2/5+5/3+9/3 and the lowest common denominator?
gregori [183]

The lowest common denominator is lcm(5, 3), which is 15.

The sum of 2/5 + 5/3 + 9/3 is 6/15 + 25/15 + 45/15, which is 76/15 or 5\frac{1}{15}.

4 0
3 years ago
The area of a square is 729 square feet.What is the length of the side?
Art [367]

To find the length of the side of a square when the area is known, find the square root of the area:


Side length = √729

Side Length = 27 feet.

7 0
3 years ago
Rarotonga Holiday
pogonyaev

Answer:

that is a long story

Step-by-step explanation:

3 0
3 years ago
Choose the most accurate statement based on the graph shown.
Aleksandr [31]
The graph is a good representation of the data.
8 0
3 years ago
Read 2 more answers
Other questions:
  • The length of a ribbon is 3/4 meter. Sun Yi needs pieces measuring 1/3 meter for an art project. What is the greatest number of
    5·1 answer
  • If my fraction is 140/216, what is that in simplest form?
    15·2 answers
  • Convert 8 gal/h into pt/min
    7·1 answer
  • 6x6x6x6x6x6 15x15x15 Write the product as a power
    8·2 answers
  • Explain why the absolute value of a number is never negative
    12·1 answer
  • Help!! Can someone explain this to me I’m not getting it.
    14·2 answers
  • Please help. 20 points...........
    5·2 answers
  • What is the measure of 4? Please and thank you :)
    6·1 answer
  • There is a circle with a diameter of 3. Round to nearest tenth!
    5·1 answer
  • Find the missing side length.<br> The perimeter, P, is given
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!