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theopenstudyowl
 one year ago
Math graphing help. Medals.
theopenstudyowl
 one year ago
Math graphing help. Medals.

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1For #4, draw a vertical line through 4 on the x axis where does this vertical line cross the red f(x) curve?

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1@ (2,1) and (2,2)

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1oh wait, sorry those are the points of intersection of the two functions, one sec.

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1does this have to do with the vertical line test?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1no, I'm simply asking for the value of f(4)

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1Ok, could you help me with the domain and range part of the problem please.?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so you figured out that part already? the f(4) part?

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1that wasnt the part I needed help with.. just included it because the graph is required in order to understand the rest of the problem..

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the domain is the set of allowed inputs, in other words, the set of allowed x values

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the red f(x) function stretches from x = 4 to x = 4 the function is not defined for other x values (like x = 10)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so that's why the domain is \[\Large 4 \le x \le 4\] in interval notation, the domain is written as `[4, 4]` Notice the use of square brackets to mean include the endpoints

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what would be the domain of g(x) ?

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1ok, I'll solve that now, could you explain to me when I include brackets and parenthesis when writing these things..?

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1The domain of g(x) is [4,3]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the parenthesis are used to exclude the endpoint that's when you come across an endpoint with an open circle like so dw:1440727842554:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440727856238:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1think of it as like a road that isn't finished. There is a pot hole at the open circle. It is NOT included in part of the road because you can't drive on it

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1So when there is a circle, I use brackets?

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1oh wait parenthesis nvm

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440728130377:dw

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1ok thanks, could you help me with the range too plz?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the range is the set of possible outputs of a function put another way, the range is the set of possible y values that could come out

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1look at the red curve f(x) the lowest it goes is to y = 2 the highest it goes is to y = 3 the range of f(x) is \[\Large 2 \le y \le 3\] in interval notation the range of f(x) is `[2,3]` I'll let you do g(x)

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1ok, is my domain for g(x) correct?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what did you say for the domain of g(x)?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1oh nvm, you wrote `The domain of g(x) is [4,3]`

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah that is correct

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1ok, give me a sec for the other one...

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.11/2 is less than or equal to y is less than or equal to 4

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I don't agree with the 1/2 part

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1each tick is 1

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1its hard to tell

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.11/2 is a good estimate

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what would the range be in interval notation?

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1ok, cool, Could you explain to me when I use less than and less than or equal to, is there a clear way of knowing?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1it depends on if you have open or closed circles dw:1440728925694:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1when you include a point, you say "or equal to" eg: \[\Large x \le 5\] we're including 5

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1saying `x > 5` we mean everything larger than 5 and we exclude 5 from the set

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1ok cool, thanks!

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1http://assets.openstudy.com/updates/attachments/55dfbcb4e4b0819646d75855theopenstudyowl1440726228078unnamed.jpg http://assets.openstudy.com/updates/attachments/55dfbcb4e4b0819646d75855theopenstudyowl1440726228718unnamed1.jpg

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1a) f(4)=2, g(3)=4. b) The values of x where f(x)=g(x) are x=2 and x=2. c) An estimation of the solution of the equation f(x)=1, is x=3. d) The interval on what f is decreasing is [0,4]. e) The domain of f(x) is [4,4], the range of f(x) is [2,3]. f) The domain of g(x) is [4,3], the range of g(x) is [1/2,4].

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1@jim_thompson5910 does anything look incorrect?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1`c) An estimation of the solution of the equation f(x)=1, is x=3.` there's one other solution

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1`d) The interval on what f is decreasing is [0,4].` f is not decreasing when x = 0 or at the endpoint x = 4 so you'll need to exclude the endpoints and say \(\Large (0,4)\)

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1ok cool, does everything else look ok?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1everything else is perfect

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1ok, and for c, how would I find that other point?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1draw a horizontal line through y = 1 and see where it crosses the red f(x) function

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you already found (3,1)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1actually I think you meant to say (3,1)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1if f(x) = 1, then x = 3 or x = ???

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1so its x=3 and 4?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes if f(x) = 1, then x = 3 or x = 4

theopenstudyowl
 one year ago
Best ResponseYou've already chosen the best response.1ok great, well thanks again for your wonderful help. Saved me alot of time, hope you have an awesome rest of your day!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1glad to be of help
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