All categories

1 year ago

Find the domain and range of the graph

Mathematics

1 answer:

ozzi1 year ago

8 0

9514 1404 393

Answer:

domain: [-6, -1)
range: [-5, 4]

Step-by-step explanation:

You have correctly determined the domain to be from x = -6 to x < -1. In interval notation, that would be ...

[-6, -1)

The range is the vertical extent of the graph. It extends from a minimum of y = -5 to a maximum of y = +4 at the top of the curve. In interval notation, that would be ...

[-5, 4]

You might be interested in

Which of the following are identities? Check all that apply

Natasha2012 [34]

Answer:

A, C

Step-by-step explanation:

Actually, those questions require us to develop those equations to derive into trigonometrical equations so that we can unveil them or not. Doing it only two alternatives, the other ones will not result in Trigonometrical Identities.

Examining

A) True

$\frac{1-tan^{2}x}{2tanx} =\frac{1}{tan2x} \\ \frac{1-tan^{2}x}{2tanx} =\frac{1}{\frac{2tanx}{1-tan^{2}x}}\\ tan2x=\frac{1-tan^{2}x}{2tanx}$

Double angle $tan2\alpha =\frac{1 -tan^{2}\alpha }{2tan\alpha}$

B) False,

No further development towards a Trig Identity

C) True

Double Angle Sine Formula $sin2\alpha =2sin\alpha *cos\alpha$

$sin(8x)=2sin(4x)cos(4x)\\2sin(4x)cos(4x)=2sin(4x)cos(4x)$

D) False No further development towards a Trig Identity

$[sin(x)-cos(x)]^{2} =1+sin(2x)\\ sin^{2} (x)-2sin(x)cos(x)+cos^{2}x=1+2sinxcosx\\ \\sin^{2} (x)+cos^{2}x=1+4sin(x)cos(x)$

7 0

2 years ago

Read 2 more answers

What is f(–3) for f(x) = 2x2 – x + 5?<br> A) 11 <br> B) 17 <br> C) 20 <br> D) 26

nirvana33 [79]

Answer: D

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

f(x) = 2x² - x + 5

f(-3) = 2(-3)² - (-3) + 5

= 2(9) + 3 + 5

= 18 + 3 + 5

= 26

6 0

2 years ago

Wale was twice as old as Ajay 10 years back. How old is Ajay today if Wale will be 40 years old 10. years hence?

vagabundo [1.1K]

Using a system of equations, it is found that Ajay is 25 years old today.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: Wale's age.

Variable y: Ajay's age.

Wale was twice as old as Ajay 10 years back, hence:

$x - 10 = 2(y - 10)$

$x - 10 = 2y - 20$

$x = 2y - 10$

Wale will be 40 years old in 10 years, hence:

$x + 10 = 40$

$x = 40$

Then, Ajay's present age is found as follows.

$2y = x + 10$

$2y = 40 + 10$

$y = \frac{50}{2}$

$y = 25$

You can learn more about system of equations at brainly.com/question/14183076

4 0

1 year ago

Read 2 more answers

A pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 15 minutes. Air traffic co

Sladkaya [172]

Answer:

y = (1/2)x + 15

Step-by-step explanation:

First, we need to identify the parts of the problem that we already know:

1) The pilot was originally scheduled to depart at 1600 (4:00 pm).

2) The pilot's departure was delayed by 15 minutes.

3) the traffic control approved a new flight plan that would allow the pilot to travel to her destination two times faster than her original flight plan.

For the problem's sake, let us pretend that the pilot's original flight plan was going to take two hours. Had he/she left at 4:00 pm, the pilot would have landed at 6:00 pm.

With a delay of 15 minutes, the duration of the flight would still remain constant, so the pilot would arrive at their destination two hours later, at 6:15 pm.

With the new flight plan, the pilot's travel time would be cut in half, so it would be 1/2 of x (time, in minutes, of original flight). Thus, her new flight time would only be one hour (60 minutes).

So, now we have to subtract 1/2 from the original flight time, as well as adding the 15 minute delay for departure. Now we can create a formula:

y = (1/2)x + 15

Y equals the total amount of time (in minutes) that it would take for the plane to leave. We divide x (total time of original flight) by 2, because her new flight plan will be twice as fast. Then we have to take into account the extra 15 minute delay!

8 0

2 years ago

Need help on this math problem

Lyrx [107]

Answer:

the expression would be 20h+25

Step-by-step explanation:

3 0

2 years ago