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Describe the horizontal and vertical shift of the following function. f(x) = -2(x - 3)^3 -4 

Describe the right-hand and left-hand behavior of the function f(x) = -4(x - 1)^4(x + 3) 

Describe the right-hand and left-hand behavior of the following function. f(x) = 4x^6 - 3x^2 + x 

 Apr 19, 2020
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The left-hand behavior asks the question: 

  As x goes to negative infinity (off to the far left of the graph), do the y-values increase (go upward to positive infinity)

  or decrease (go downward to negative infinity)?

Similarly, the right-hand behavior asks the question:

  As x goes to positive infinity (off to the far right of the graph), do the y-values increase (go upward to positive infinity)

  or decrease (go downward to negative infinity)?

 

For the function  f(x)  =  -4(x-1)4(x + 3):

  as x gets smaller (more and more negative), the graph goes higher and higher up the y-axis (the y-values go

      to positive infinity)  

  as x gets larger (off to the right), the graph dips lower and lower down the y-axis (the y-values go to negative infinity).

 Apr 19, 2020

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