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Mathematics 16 Online
OpenStudy (anonymous):

Solved with the help of two very patient people.

OpenStudy (anonymous):

no you graph all of it the x and the y's must be graphed

OpenStudy (anonymous):

domain would be written [0, 4] (zero to four inclusive) range would be written [1, 5] (1 to 5 inclusive) ordered pairs are your (x, y) pairs which are (input, output) so you have (0, 1), (1, 2), (2, 3), (4, 5) you graph the ordered pairs (x,y)

OpenStudy (anonymous):

no graph the order pairs above for ex:0,1

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

i'm sorry

OpenStudy (anonymous):

so it would be 2x+4 the x is a exponent so you would substitute the value that you multply then add to get the y values i'm sorry i don't know how else to explain i'm just a freshman in high school

OpenStudy (anonymous):

your welcome

OpenStudy (ranga):

Looks good to me.

OpenStudy (ranga):

You can figure out the function. Every time x increases by 1, y also increases by 1. (in the last pair, x and y both increase by 2) So it is a straight line. Slope = rise / run = 1 / 1 = 1 So it is a 45 degree line. when x = 0, y = 1. That will be your y-intercept. The function is y = mx + b where m is slope and b is the y-intercept. You can substitute for m and b and figure out the function.

OpenStudy (ranga):

Just plot the 4 points and join them all using a ruler. If they ask for for the function you can use the method in my previous reply.

Directrix (directrix):

@get002 I do not agree with this: >>or domain I have [0,4] for range i have [1,5] As I understand the question, the domain is discrete and consists of four elements. The same for the range. This notation --> [0,4] means all real numbers from zero to four, including 0 and 4. There are infinitely many of those. That is not what you are given as the domain. For domain, I would say {0,1,2,4} just as you wrote. For range, I would say {1,2,3,5} just as you wrote. I agree with this: corresponding ordered pairs i have (0,1), (1,2), (2,3), (4,5) And, to my thinking, the graph consists of exactly those four points. Do not connect them.

OpenStudy (ranga):

What Directrix said above makes sense and may be the right thing to do.

Directrix (directrix):

@getoo2 The question does not ask for a rule.

OpenStudy (anonymous):

I agree with @Directrix about domain and range logic. but if we graph it and connect the dots, aren't there infinitely many x and y between the given integers?

Directrix (directrix):

@Euler271 We are not connecting the dots. At least, I am not because this function consists of exactly 4 ordered pairs.

OpenStudy (anonymous):

ok then, I agree 100%

OpenStudy (ranga):

No connecting the dots. We made the tacit assumption the function was continuous. But it was not suggested in the problem.

Directrix (directrix):

@getoo2 Post your graph so that we can see what you are doing. Do this and you will be finished: graph the function with the domain given. Plot the four points and you are finished. Do not join them.

Directrix (directrix):

Attached is a virtual sheet of graphing paper.

Directrix (directrix):

No problem with that. We just need to see your graph. You can also click on the blue DRAW tab below and sketch the graph there.

OpenStudy (ranga):

You have just plotted the x values. You should plot the 4 (x,y) pairs.

Directrix (directrix):

You plotted these ordered pairs: (0,0); (1,0); (2,0); (4,0) That is not what we are doing. We are plotting these ordered pairs: (0,1), (1,2), (2,3), (4,5) |dw:1385687811819:dw|

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