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3 years ago

What is the range of the function on the graph?

Mathematics

2 answers:

STALIN [3.7K]3 years ago

8 0

Answer:

the answer is D. all real numbers greater than or equal to 2.

Step-by-step explanation:

looking at the graph, half of a parabola is curved upwards, and will never stop going up. looking at (1, 2), the dot (instead of circle) indicates the range is greater than or equal to itself, which is 2.

Olegator [25]3 years ago

3 0

<h2>Answer:</h2>

Option: d is the correct answer.

d. all real numbers greater than or equal to 2

<h2>Step-by-step explanation:</h2>

Domain of a function--

The domain of the function is the set or collection of all the x-values for which the function is well defined.

Range of a function--

The range of a function is the set of all the values which are attained by a function in it's defined domain.

By looking at the graph we observe that the function is continuously increasing and the function takes all the real values greater than as well as equal to 2( since there is a closed circle at (1,2) )

Hence, the range is: [2,∞)

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ahrayia [7]

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3 years ago

A square of side length s lies in a plane perpendicular to a line L. One vertex of the square lies on L. As this square moves a

user100 [1]

Answer:

Part (A) The required volume of the column is $s^2h$ .

Part (B) The volume be $s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}$ .

Step-by-step explanation:

Consider the provided information.

It is given that the we have a square with side length "s" lies in a plane perpendicular to a line L.

Also One vertex of the square lies on L.

Part (A)

Suppose there is a square piece of a paper which is attached with a wire through one corner. As you blow it up it spins around on the wire.

This square moves a distance h along L, and generate a corkscrew-like column with square.

The cross section will remain the same.

So the cross section area of original column and the cross section area of twisted column at each point will be the same.

The volume of the column is the area of square times the height.

This can be written as:

$s^2h$

Hence, the required volume of the column is $s^2h$ .

Part (B) What will the volume be if the square turns twice instead of once?

If the square turns twice instead of once then the volume will remains the same but divide the volume into two equal part.

$s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}$

Hence, the volume be $s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}$ .

5 0

3 years ago

Find the equation (in terms of x ) of the line through the points (-1,4) and (2,-5)

marishachu [46]

Answer:

( 1 , -3 ) for every +1 on the x line you go -3 on the y I hope this is what you need

6 0

2 years ago

Which of the following is a property of all rectangles?

Sliva [168]

Answer:

All angles are right angles. The diagonals are congruent. And it's a parallelogram

Step-by-step explanation:

6 0

2 years ago

You are making gift baskets. each basket will contain three different types of candles: tapers, pillars ad jar candles. tapers c

nikdorinn [45]

Let
x = the number of tapers (each coss $1)
y = the number of pillars (each costs $4)
z = the number of jars (each costs $6)

There are 8 candles in each basket, therefore
x + y + z = 8 (1)

The cost per basket is $24, therefore
x + 4y + 6z = 24 (2)

The number of tapers equals the sum of pillars and jars, therefore
x = y + z (3)

Substitute (3) into (1) and into (2).
y + z + y + z = 8
2y + 2z = 8
y + z = 4 (4)

y + z + 4y + 6z = 24
5y + 7z = 24 (5)
From (4), y = 4 -z. Substitute into (5).
5(4 - z) + 7z = 24
2z + 20 = 24
2z = 4
z = 2
y = 4 - z = 4 - 2 = 2
x = y + z = 2 + 2 = 4

Answer: 4 tapers, 2 pillars, 2 jars.

4 0

3 years ago