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Alexxandr [17]
2 years ago
6

What is the range of the function graphed below?

Mathematics
1 answer:
aleksandrvk [35]2 years ago
4 0

Answer:       B.     [–4, 0)  ∪  [2, ∞)

To find the range, find out what y-values are possible for the function in the graph.

<h2>Symbols</h2>

We need to pay attention to what symbols to use.

<h3>Reading the diagram</h3>

Solid circle

  • The function touches the point.

Empty circle

  • The function gets close, but does not touch the point.

Arrow

  • The function keeps going to infinity.

<h3>Writing range in set notation</h3>

Square brackets: [ and ]

  • These show that the function touches the point.

Curved brackets: ( and )

  • These show that the function gets close but does not touch the point.
  • Infinity always uses a curved bracket.

Union of sets: ∪

  • This symbol shows that sets of values are talking about the same thing. It's almost like the word 'and'.

<h2>Finding the range of the graphed function</h2><h3>Lower blue line</h3>

Let's start by looking for the lowest possible y-value at the bottom of the diagram. On the graph, the point (4, –4) marked with a solid circle.

The function touches the point and stops. Since the y-value is –4, the lowest possible y-value is:     -4

If we follow the blue line upwards, we find an empty circle at (0, 0). The y-value in (0, 0) is 0. This means that the function gets close, but does not include:     0

So, the first part of our range is:

  • [–4, 0)

<h3>Upper blue line</h3>

The blue line on the top starts where y = 2 at a solid circle. So, the function includes the y-value:    2

If we follow this blue line upwards, it ends with an arrow. This means it will keep going to infinity, which is the symbol:    \infty

So, the second part of our range is:

  • [2, ∞)

<h2>Putting it together</h2>

Put the lower and upper blue lines together with the union of sets symbol. The range is expressed as:    [–4, 0)  ∪  [2, ∞)

Learn more about domain and range here:

brainly.com/question/20349151

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Please help if your right ill rate you 5 stars and Brainiest!
BabaBlast [244]

Answer:

b) (4,-3) good luck with the rest

8 0
3 years ago
Read 2 more answers
Umm whats y2 when y is -9 and whats z2 when z is 0.7 im not that smart so ill be asking alot
Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

y = - 9

y^2 = (-9)^2 = 81

AND

z = 0.7

z^2 = (0.7)^2 = 0.49

Hope it helped

6 0
3 years ago
PLEASE HELP ASAP<br> ITS GEOMETRY
omeli [17]

Angle 1 and angle 3 are vertically opposite angles. And both angles are congruent with each other.

<h3>What is an angle?</h3>

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Line L and line M intersect each other.

Angle 1 and angle 2 are supplementary angles.

∠1 + ∠2 = 180°         ...1

Angle 2 and angle 3 are supplementary angles.

∠2 + ∠3 = 180°        ...2

From equations 1 and 2, then we have

∠1 + ∠2 = ∠2 + ∠3

∠1 = ∠3

The vertically opposite angles are angle 1 and angle 3. Furthermore, the two angles line up perfectly.

More about the angled link is given below.

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5 0
1 year ago
Find the equation of the line that is perpendicular to 3x + 2y = -2 and goes through the point (6,2)
notka56 [123]
Perpendicular lines have slopes that are inverse reciprocals of each other. That would give you the new slope in your equation. After that plug (6,2) into point slope form and solve to get your final equation.

4 0
3 years ago
A circle with an area 9pi has a sector with a central angle of 1/9pi what is the area of the sector
ludmilkaskok [199]

Answer:

½pi or 0.5pi units²

Step-by-step explanation:

Area : angle

9pi : 2pi

x : pi/9

9pi/2pi = x/(pi/9)

4.5 × pi/9 = x

x = ½pi or 0.5pi units²

8 0
3 years ago
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