anonymous
  • anonymous
Help with Continuity and End Behavior, please!
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
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anonymous
  • anonymous
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anonymous
  • anonymous
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idku
  • idku
\(x^4\) will tend to positive infinity as x approaches pos/neg infinity. (because the power is even) When this is multiplied times -2, i.e. \((-2)\cdot x^4\), it then tends to negative infinity. (Roughly saying that: infinity × negative = - infinity)
idku
  • idku
3) Concave up parabola (opens up) It will decrease (negative slope) up to vertex, and from vertex and on it will increase (positive slope)
idku
  • idku
4) Decreases up to vertex, and from vertex and on increases.
anonymous
  • anonymous
So would 2 be A? Or am I misunderstanding?
jim_thompson5910
  • jim_thompson5910
|dw:1444355025772:dw|
jim_thompson5910
  • jim_thompson5910
let's graph h(x) = -2x^4 |dw:1444355037311:dw|
jim_thompson5910
  • jim_thompson5910
it kinda looks like a parabola, but it's not really a parabola
jim_thompson5910
  • jim_thompson5910
what happens when x gets larger and larger (approaching +infinity) ?
anonymous
  • anonymous
It stretches.
jim_thompson5910
  • jim_thompson5910
what happens to the y coordinate of the point?
anonymous
  • anonymous
It gets smaller?
jim_thompson5910
  • jim_thompson5910
y approaches -infinity I think is what you mean?
anonymous
  • anonymous
Yes
jim_thompson5910
  • jim_thompson5910
correct so h(x) --> -infinity as x --> infinity
jim_thompson5910
  • jim_thompson5910
how about as x --> -infinity
anonymous
  • anonymous
h(x) ---> infinity?
jim_thompson5910
  • jim_thompson5910
look at the graph
anonymous
  • anonymous
Oh -infinity
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • anonymous
So, c?
jim_thompson5910
  • jim_thompson5910
correct

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