anonymous
  • anonymous
Which of the following is the function representing the graph below? f(x) = (1/3)^x + 1 f(x) = (1/3)^x – 1 f(x) = 3x – 1 f(x) = 3x + 1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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jdoe0001
  • jdoe0001
well, you have a noticeable increament/decrement on the x, y relationship that means as one changes a bit, the one changes a lot
jdoe0001
  • jdoe0001
what does that mean? is an exponential equation

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anonymous
  • anonymous
Im confused.
jdoe0001
  • jdoe0001
now at 1/3, \(1^3 = 1, 1^{100000} = 1\)
jdoe0001
  • jdoe0001
so as the exponent for 1/3 changes, 1 remains 1, and changes dramatically from 3 to 9 to 81 to 6561
jdoe0001
  • jdoe0001
from 1/3 to 1/6561, the latter number is much smaller of a fraction, and thus closer to 0
IrishBoy123
  • IrishBoy123
linear equations - straight lines - follow the formet y = mx +c. m is the gradient, c is where the line hits the x axis. the line you show is clearly not linear - it is not a straight line. that eliminates c) and d). looking at the other options, why not start by setting x to 0 and seeing what y becomes. the solutions are: A) +1 B) -1 anything to the power of zero = 1. so if your curve intercepts x = 0 at +2, the answer is........?!?!
jdoe0001
  • jdoe0001
so, if you were to use say 1/6561 - 1 as choice b) suggests you'd get -6560/6561 a negative number but "y" in the graphic shows no negative numbers so, which one do you think it's?
anonymous
  • anonymous
a ? idk im confused.:(
jdoe0001
  • jdoe0001
well, it's an exponential function so, which choices give you an exponential function?
IrishBoy123
  • IrishBoy123
look, ignore jdoe and read what i wrote. the answer is in there.
anonymous
  • anonymous
b ?
anonymous
  • anonymous
i got lost when you said so if your curve intercepts x = 0 at +2.
anonymous
  • anonymous
oh no nvm i understand that part lol sorry.,
IrishBoy123
  • IrishBoy123
(1/3)^0 + 1 = 2 (1/3)^0 - 1 = 0 does that make sense?
anonymous
  • anonymous
yess.
anonymous
  • anonymous
so how do i find the answer from that .
jdoe0001
  • jdoe0001
out of (1/3)^1000 + 1 = ? (1/3)^1000 - 1 = ? which is positive?
anonymous
  • anonymous
the first one ?
jdoe0001
  • jdoe0001
yes
jdoe0001
  • jdoe0001
so, the 1st one is positive, the graphic shows only POSITIVE for "y" it shows no negative ones (1/3)^1000 - 1 means ^ smaller -1 than 1 so a number smaller than 1 -1, will give a negative value but in the graphic "y" has no negative ones so, there's only 1 option :)
anonymous
  • anonymous
so it is a ? the positive 1 ?
IrishBoy123
  • IrishBoy123
yes Lesha, and I hope you can see why! Well done you.
jdoe0001
  • jdoe0001
http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiIoMS8zKV54KzEiLCJjb2xvciI6IiMwMDAwMDAifSx7InR5cGUiOjEwMDAsIndpbmRvdyI6WyItNC4yNzk5OTk5OTk5OTk5OTkiLCI4LjcyIiwiLTAuMjQwMDAwMDAwMDAwMDAwMiIsIjcuNzYiXX1d
anonymous
  • anonymous
Thank you. (: . Veryy much !
jdoe0001
  • jdoe0001
yw
anonymous
  • anonymous
ii have one more graph question. can you help ?
jdoe0001
  • jdoe0001
sure, post in channel so we all can see it and help, and revise each other :)

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