Question

7.Reflect back on this scenario and each equation you created. Would any restrictions apply to the domain and range of those equations? Explain your reasoning using complete sentences.
8.Explain, using complete sentences, why it is important to understand any limitations on the domain and range.

Answer 1

@amistre64

Answer 2

i looked on google and couldn't find anything :(

Answer 3

i think the answer is no

Answer 4

and i have to explain with complete sentences

Answer 5

No, it doesn't, @cupcake111. If you think about a line, it's the set of all points that follow a certain equation. So no matter what point you choose, if it's on the line, it'll work for building the line. Does that make sense to you?

Answer 6

ok

Answer 7

can u help me with this last one

Answer 8

Reflect back on this scenario and each equation you created. Would any restrictions apply to the domain and range of those equations? Explain your reasoning using complete sentences.
Explain, using complete sentences, why it is important to understand any limitations on the domain and range.

Answer 9

ill give u some examples of the previous thing i did

Answer 10

write the equation of the line in standard form from one point to another. points are (1,2) and (-2,4).

Answer 11

write the equation of the line in point-slope form with these two points: (-2,4) and (-5,6)

Answer 12

write the equation of the line in slope-intercept form with these two points: (-5,6) and (-8,8)

Answer 13

btw that paragraph up there should be two diff questions^^

Answer 14

So these are both pretty much the same. This is the process:
1. Plug into the formula\[m = \frac{ y_2 - y_1 }{ x_2 - x_1 }\]2.Take the value for m and a single point and plug into \[y=mx+b\]to evaluate your y-intercept.
3. Write the formula with the slope and y-intercept.

And that's it. Do you want to do an example?

Answer 15

im not asking you to solve itttt

Answer 16

these are the questions:
7.Reflect back on this scenario and each equation you created. Would any restrictions apply to the domain and range of those equations? Explain your reasoning using complete sentences.
8.Explain, using complete sentences, why it is important to understand any limitations on the domain and range.

Answer 17

and i just gave u some of the examples that i did

Answer 18

You should be able to think these out. You know what domain and range are, right?

Answer 19

yes

Answer 20

in the lesson it says:

Answer 21

Based on the situation when graphing equations and functions, it can be necessary to note limitations of the domain and the range. These limitations are called restrictions. Looking at the airplane question above, the y variable represents the airplane’s height above the airport. It would not be realistic to have a y value that is a negative number because that would mean the airplane is below the airport, or underground. Therefore, the range on this equation can only include positive numbers.

Since y cannot be negative, the smallest number it could be would be zero. Solve for x when y is zero to find the smallest, realistic value for x.

Answer 22

y = on-fourth x - 1

0 = one-fourth x - 1

0 + 1 = one-fourthx -1 + 1

1 = one-fourthx

4 • (1) = (one-fourthx) • 4

4 = x

Answer 23

The domain must have values of 4 or greater in order to keep the range values at 0 or greater.

Answer 24

Does that mean the plane lands 4 miles from the airport?

Yes. If the pilot plots to follow this trajectory, the airplane will land 4 miles from the airport. Airplanes adjust their trajectories during the flight due to a number of real-world constraints like wind or turbulence. It would be wise for this pilot to change his trajectory before landing!

Answer 25

can u just help me write a few sentences for each i dont get it. do i have to work something out for this to see if there are restrictions?

Answer 26

I've been working on this project for more than two hours already plz i need help.. :( someone :(

Answer 27

@amistre64