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
Oksi-84 [34.3K]
3 years ago
12

Graph the function. Upload a handwritten copy of your graph as your final answer.

Mathematics
1 answer:
Serhud [2]3 years ago
7 0
The function is divided in 2 parts:

For x<0, the function is y=x, which is a linear function, and its graph is a line.

For x≥0, the function is y=-x^2, which is a quadratic function, and its graph is a parabola.


Note that y=x is the line containing the points (0, 0), (1, 1), (5, 5) etc, that is, it is the line passing through the origin, with an inclination of 45° with the positive x-axis.


The parabola y=-x^2 is the parabola y=x^2 reflected with respect to the x-axis. It contains points like (0, 0), (-1, 1), (2, -4) etc...

The 2 graphs, with domain all real numbers, are shown in the first picture.

The second picture is the graph of the function described in our problem. We use the first picture, but restrict the domains.

That is, we delete the part of the line corresponding to x≥0, and the part of the parabola corresponding to x<0.

You might be interested in
Solve the inequality 4(n-3)- 6 &gt; 18
Sonbull [250]

Answer:

n>9

Step-by-step explanation:

4(n-3)- 6 > 18

To solve this inequality we need to remove the parenthesis

distribute 4 inside the parenthesis

4n -12 - 6 > 18

Now combine like terms

4n - 18 > 18

We need to isolate 'n', so we add 18 on both sides

4n > 36

Now divide both sides by 4

n > 9

So the value of n is greater than 9


8 0
2 years ago
Read 2 more answers
What is the value of f(3) in the function f(x)=5/6x+8
natita [175]

For this case we have a function of the form y = f (x), where f (x) = \frac {5} {6} x + 8

We must find the value of the function when x = 3, that is, we must find f (3). So:

f (3) = \frac {5} {6} (3) + 8\\f (3) = \frac {15} {6} +8\\f (3) = \frac {5} {2} +8\\f (3) = 2.5 + 8\\f (3) = 10.5

Sof (3) = 10.5

Answer:

f (3) = 10.5

3 0
3 years ago
Simplify 3x + 2 (9-5) <br><br>please help....
viktelen [127]
3x+8 
i am pretty sure about that
3 0
3 years ago
Read 2 more answers
If I got a 28% on a test and my grade is an 88% he would that affect my grade?
OlgaM077 [116]
If its from one test it doesnt always affect your grades but if you are continuously getting 28% then it will badly affect your grades
7 0
3 years ago
Read 2 more answers
bus a and bus b leave the bus depot at 4pm. Bus a takes 15 minutes to do its route and bus b takes 35 minutes to complete its ro
serious [3.7K]

Answer:

4.35pm is the later time, both buses were together back at the depot.

Reasons;

As bus b did not return his return route until 35 minute after departure.

We can say this was a return route taking 35 minute as the question does not point out length of time getting back. We therefore state it is a return route in the workings to explain how we found the answer.

Step-by-step explanation:

4.00 + 0.35 = 4.35 = b

4.00 + 0.15  = 4.15 = a

4.35 is the later time.

8 0
2 years ago
Other questions:
  • Describe the main parts of a proof
    6·1 answer
  • HOW DO I SIMPLIFY PLZ HELP EXTRA POINT
    9·1 answer
  • Can someone help with this?
    6·1 answer
  • A bacterium reproduces by dividing into two, and after a certain growth period, it divides into two again. As the bacteria conti
    8·1 answer
  • Can somebody help me thank you
    8·1 answer
  • Solve for x. Round to the nearest tenth, if necessary.
    14·2 answers
  • What is the area of a pentagon with the side length of 13 and apothem of 9?
    6·1 answer
  • Express the function graphed on the axes below as a piecewise function. ​
    7·1 answer
  • Write a pair of equivalent fractions for 2/5?.​
    15·1 answer
  • What is the surface area of this rectangular prism?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!