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pashok25 [27]
3 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]3 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.

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2 years ago
Help please...
Vladimir [108]

Answer:

The first step is A. Subtraction

The second steep is D. Division

Step-by-step explanation:

The first step was done in other to remove the constant at one end of the equality that was with the variable, it was done in order to eradicate the constant and isolate the variable to make the equation easier to solve.

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3 years ago
Read 2 more answers
Isosceles triangle ABC has a perimeter of 96 centimertes the base of triangle AC and the mesurments at 24 centimeters. what is t
Novosadov [1.4K]

Answer:

AB= 36 degrees

Step-by-step explanation: AB + BC + AC = 96

but AB = AC  [isosceles triangle]

2AB + 24 = 96

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AB = 72/2 = 36

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8 0
4 years ago
Find the co-ordinates of the point where the line y = 3x - 8 crosses the y-axis.​
lana66690 [7]
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Answer:

Step-by-step explanation:

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