anonymous
  • anonymous
If the range of the function f(x)= 5x − 3 is {-13, -8, -3, 12, 17}, what is its domain? I am confused with the 5x-3, can someone help?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@iCake @ICanAwnserQuestions
anonymous
  • anonymous
i do not know.
anonymous
  • anonymous
@jim_thompson5910

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

jim_thompson5910
  • jim_thompson5910
The range is the set of possible outputs. So it's saying that the set of possible outputs are -13, -8, -3, 12, 17
anonymous
  • anonymous
yeah i get that what i dont get is the 5x-3
jim_thompson5910
  • jim_thompson5910
it wants the corresponding inputs for each output so say the output is y = -13 that means y = 5x - 3 -13 = 5x - 3 -13+3 = 5x -10 = 5x 5x = -10 x = -10/5 x = -2 So if the output is y = -13, then the input is x = -2
jim_thompson5910
  • jim_thompson5910
you will do this for the other outputs to get the domain
anonymous
  • anonymous
oh now i get it thanks!!! :D
jim_thompson5910
  • jim_thompson5910
you're welcome
anonymous
  • anonymous
what did you get? i get -2,-1,0,1,2
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
let me check
jim_thompson5910
  • jim_thompson5910
I don't agree with 1 or 2 but the "-2,-1,0" part is correct
anonymous
  • anonymous
okay let me try it again
anonymous
  • anonymous
i dont get it what i have to do with the y=-13 and x-2 @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
do you see how I plugged in y = -13 and solved to get x = -2 ?
anonymous
  • anonymous
yeah but i dont undersand it that much
jim_thompson5910
  • jim_thompson5910
well the idea is that if you plug in x =-2, you'll get y = -13 out they want you to think in reverse. If y = -8 is the output, then what must the input be?
anonymous
  • anonymous
-1 ?
anonymous
  • anonymous
i mean -4
jim_thompson5910
  • jim_thompson5910
yep because y = 5x-3 y = 5*(-1) - 3 ... replace x with -1 y = -5 - 3 y = -8 so this shows how if x = -1 is plugged in, then y = -8 pops out
jim_thompson5910
  • jim_thompson5910
I'll be right back
anonymous
  • anonymous
okay
jim_thompson5910
  • jim_thompson5910
I'm back
jim_thompson5910
  • jim_thompson5910
So do you see how plugging in x = -1 gives y = -8?
anonymous
  • anonymous
yes
jim_thompson5910
  • jim_thompson5910
and if y = -3, then what must x be?
anonymous
  • anonymous
2?
jim_thompson5910
  • jim_thompson5910
let's check y = 5x-3 y = 5*2 - 3 ... replace x with 2 y = 10-3 y = 7 so if x = 2, then y = 7 but we want y = -3
anonymous
  • anonymous
i get it! thank you! I have 4 questions more can you help me? its for a home test
jim_thompson5910
  • jim_thompson5910
I can't help with tests
anonymous
  • anonymous
its practically a homework and its the last 4 questions that i have trouble with :/
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
Ok I'll help with 2 of them if it's a hw. Which 2 are giving you the most trouble?
anonymous
  • anonymous
widget wonder produce widgets. They have found that the cost,c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it cost $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets. Find the total cost of producing 6 widgets.
anonymous
  • anonymous
i am so bad at that kind of problems like the paraghrap @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
ok let me look through it
anonymous
  • anonymous
okay
jim_thompson5910
  • jim_thompson5910
do you have a TI calculator (like a TI83 or TI84) ?
anonymous
  • anonymous
no :/ but cellphone work? or a scientific calculator?
jim_thompson5910
  • jim_thompson5910
the cellphone won't work because we need to do quadratic interpolation
jim_thompson5910
  • jim_thompson5910
let me find a calculator
anonymous
  • anonymous
okay thanks for your effort and your time ;) :D
jim_thompson5910
  • jim_thompson5910
ok I found this page http://www.solvemymath.com/online_math_calculator/interpolation.php you will type in [2,16], [4,18], [10,48] and hit calculate. Tell me what comes up
anonymous
  • anonymous
it appear this: http://solvemymath.com/calc_data/draw_data/cache/be7017ac8ee524153679ac985295e596.png
jim_thompson5910
  • jim_thompson5910
I got that as well
jim_thompson5910
  • jim_thompson5910
now you plug x = 6 into that function to get your final answer
anonymous
  • anonymous
thas what i dont get because it a big division
jim_thompson5910
  • jim_thompson5910
\[\Large f(x) = \frac{x^2-4x+36}{2}\] \[\Large f(6) = \frac{6^2-4(6)+36}{2}\] \[\Large f(6) = \frac{36-4(6)+36}{2}\] \[\Large f(6) = \frac{36-24+36}{2}\] \[\Large f(6) = \frac{12+36}{2}\] \[\Large f(6) = \frac{48}{2}\] \[\Large f(6) = 24\]
jim_thompson5910
  • jim_thompson5910
So this means it costs $24 to make 6 widgets
anonymous
  • anonymous
ohh okay so i always going to subsitute the x for its value
anonymous
  • anonymous
and how do you get that list of numbers? like this one that you type [2,16], [4,18], [10,48] @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
Given: "The company also discovered that it cost $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets." "it cost $16 to produce 2 widgets" means x = 2 and y = 16 "$18 to produce 4 widgets" means x = 4 and y = 18 "$48 to produce 10 widgets" means x = 10 and y = 48
jim_thompson5910
  • jim_thompson5910
all that means we know (2,16), (4, 18) and (10,48) all lie on this parabola
anonymous
  • anonymous
and how you know which ones where on the same parentesis
jim_thompson5910
  • jim_thompson5910
what do you mean?
anonymous
  • anonymous
some of the numbers where in the same parenthesis
anonymous
  • anonymous
oh nevermind i get it. thanks for your help! i have to go Thanks a lot!!
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
alright I'm glad it's making sense now

Looking for something else?

Not the answer you are looking for? Search for more explanations.