All categories

2 years ago

Write the domain and range of the function using interval notation.

Mathematics

1 answer:

vichka [17]2 years ago

6 0

The domain of the function is -5 ≤ x < 3 and the range is 0 ≤ y ≤ 2

<h3>How to determine th domain and range of the function using interval notation?</h3>

We have the following endpoints on the graph of the function;

(x, y) = Closed (-5, 2)

(x, y) = Open (3, 2)

Minimum y = 0

Remove the y values to determine the domain

x = Closed -5

x = Open 3

The closed statement represents the inequality ≤, while the closed statement represents the inequality < or >

So, we have

Domain = -5 ≤ x < 3

Also, we have:

(x, y) = Closed (-5, 2)

(x, y) = Open (3, 2)

Minimum y = 0

Remove the x values to determine the range

x = Closed 2

x = Open 2

Minimum y = 0

The above means that the y value does not include a negative value

So, we have

Range = 0 ≤ y ≤ 2

Hence, the domain of the function is -5 ≤ x < 3 and the range is 0 ≤ y ≤ 2

You might be interested in

Trigonometry

xxMikexx [17]

Answer:

1.309 rad

Step-by-step explanation:

We are told to convert 75° to radians.

# we know that 1° is equivalent to 0.01745radians.

-To convert any angle degree to radians, we multiply it by π/180 or 0.01745rad:

$=75\textdegree \times \pi/180\\\\=1.309 \ rad$

Hence, the radian equivalent of 75 is 1.309 rad

8 0

3 years ago

Suppose that you are swimming in a river while a friend watches from the shore. In calm water, you swim at a speed of 1.25 m/s .

belka [17]

Answer:

Your friend sees you moving at 0.25 m/s upstream.

Step-by-step explanation:

Remember that relative velocity is the velocity of an object in relation to another object. In this example, your friend sees you moving with respect to the river with a relative velocity (Vr) of:

Vr = Yor Velocity (Vy) - The river Velocity (Vriver) =

Vr = 1.25 m/s - 1 m/s = 0.25 m/s

I hope my answer helped you.

3 0

3 years ago

-(q + 14)= -3 + (-14)

Liula [17]

-(q + 14) = -3 + (-14)
-q - 14 = -3 -14
-q - 14 = -11
-q = +14 - 11
-q= 3

3 0

3 years ago

A total of 6.2 percent of the prime time viewing audience watched shows on ABC, 8.1 percent watched shows on CBS, 7.4 percent on

statuscvo [17]

Answer:

For each one it is shown below

Step-by-step explanation:

The computation of the prime time viewing percentage for the following data is shown below:l;

but before that we need do the total which is

= 6.2% + 8.1% + 7.4% + 6.4% + 3.1% + 2.8%

= 34%

Now for each one the viewing percentage is

For ABC

$= \frac{6.2}{34}$

= 18.24%

For CBS

$= \frac{8.1}{34}$

= 23.82%

For NBC

$= \frac{6.4}{34}$

= 18.82%

For Warner brothers

$= \frac{3.1}{34}$

= 9.12%

For fox

$= \frac{7.4}{34}$

= 21.76%

For UPN

$= \frac{2.8}{34}$

= 8.24%

4 0

4 years ago

The length of a side of an equilateral triangle is 10 inches. What is the length of an altitude of the triangle?

IrinaK [193]

The altitude of an equilateral triangle with side length $a$ is $\frac{a\sqrt{3}}{2}$ .

So, the length of the altitude is

$10 \cdot \frac{\sqrt{3}}{2}= 5\sqrt{3}$

3 0

3 years ago