anonymous
  • anonymous
y=-1/2(x+2)(x+2)-1
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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lgbasallote
  • lgbasallote
what is the instruction? find x in terms of y? factor?
anonymous
  • anonymous
y = (1/2)^x is an exponential function where x is the exponent 1° case when x approaches negative infinity Note that y = (1/2)^x = 2^(-x) so when x -> (-inf.), function approaches y = 2^[-(-inf)] = 2^(+inf) and lim(y) {x -> -inf} = +inf When x decreases to -inf., y grows to +inf 2° case when x approaches positive infinity We can write y = (1/2)^x = f(x)/g(x) where f(x)=1 and g(x)=2^x and then use following rule lim[f(x)/g(x)] {x -> inf} = lim f(x) {x -> inf} / lim g(x) {x -> inf} therefore lim[(1/2)^x] {x -> inf} = lim[1/(2^x)] {x -> inf} = lim (1){x -> inf} / lim (2^x){x -> inf} lim (1){x -> inf} = 1 lim (2^x){x -> inf} = inf lim[(1/2)^x] {x -> inf} = 1 / inf. = 0 The limit of y as x approaches +infinity is 0. That means horizontal line y=0 is horizontal asymptote of function y = (1/2)^x. 3° intercept with y-axis For x=0, y = (1/2)^0 = 1
NotTim
  • NotTim
holy geez man.

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anonymous
  • anonymous
NotTim
  • NotTim
yeah, just cover every possibly question right
lgbasallote
  • lgbasallote
well...at least he's precise nottim =)) the asker may just choose which answer he desires
NotTim
  • NotTim
clarencema, when you're done reading, do you have what you need?
lgbasallote
  • lgbasallote
NotTim would be willing to add information? /:) i think he pretty much covered every possibility haha :))

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