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
pashok25 [27]
2 years ago
10

state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
8 0

Answer:

  • domain (-∞, ∞)
  • range (-∞, 4]
  • increasing (-∞, 0)
  • decreasing (0, ∞)
  • constant (only at x=0, not on any interval)

Step-by-step explanation:

The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).

The vertical extent of the graph includes y=4 and all numbers less than that:

  range: (-∞, 4]

The graph is increasing to the left of its vertex at x=0, decreasing to the right.

  increasing (-∞, 0); decreasing (0, ∞)

There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.

You might be interested in
Find the volume of the pyramid. Write your answer as a fraction or mixed number.
Dahasolnce [82]

Check the picture below.

let's notice that the base of the pyramid is triangle with a base of 5 and an altitude of 4, so it has an area of (1/2)(5)(4).

\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=\stackrel{\textit{area of its}}{base}\\ h=height\\[-0.5em] \hrulefill\\ B=\frac{1}{2}(5)(4)\\ h=8 \end{cases}\implies V=\cfrac{1}{3}\left( \cfrac{1}{2}(5)(4) \right)(8)\implies V=\cfrac{1}{3}(10)(8) \\\\\\ V=\cfrac{80}{3}\implies V=26\frac{2}{3}

4 0
3 years ago
If 3r = 18, what is the value of 6r + 3
Free_Kalibri [48]

Answer:

39

Step-by-step explanation:

In order to solve this you have to fond r.

In 3r=18 you divide the 3 from both sides to isolate the variable.

18÷3=6 so you are left with r=6

So r is 6.

Plug that into 6r+3

6(6)+3

6×6=36

36+3=39

6 0
3 years ago
Read 2 more answers
Six less than a number is 15. Let x represent the number.
anygoal [31]

Answer: x - 6 = 15

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A cyclist rode 4.5 miles in 0.4 hours. How fast was the cyclist going in miles per hour
Nookie1986 [14]

Answer:

1)Distance covered by cyclist=3.75 miles.

Time =0.3 hours.

Speed= Distance ÷Time

Speed =3.75÷0.3=12.5 miles per hour.

2) Speed = 12.5 miles per hour, Distance = 4.5 miles .

Time = Distance ÷Speed.

Time = 4.5÷12.5=0.36 hours.

Time taken to cover 4.5 miles is 0.36 hours.

3 0
2 years ago
Read 2 more answers
What is the slope-intercept form of the function described by this table? x 1 2 3 4 y 8 13 18 23 Enter your answer by filling in
tino4ka555 [31]

Answer:

y = 5 x + 3  

Step-by-step explanation:

I took the quiz

7 0
2 years ago
Other questions:
  • HELP FOR 15 POINTS!The table shows the number of minutes in different numbers of days.
    6·2 answers
  • The ratio of berries to Oranges is 10:1 if there are 25 oranges how many berries would there be​
    10·1 answer
  • -4 1/2 divided by - 2 2/3 as a mixed number
    15·1 answer
  • How can i do this one ☝️
    8·2 answers
  • In a recent survey, 72 out of 100 consumers reported that they preferred plastic bags instead of paper bags for their groceries.
    15·1 answer
  • Find the distance between each pair of points (8,5) ,(-1,3)
    6·2 answers
  • Solve the proportion x/12.6=45/63
    5·2 answers
  • What is -6x+4(-2x+8y)-2y+4
    12·1 answer
  • I don't get it........
    14·2 answers
  • What is the equation of the graph below?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!