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

Guest Apr 19, 2020

#1**+1 **

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).

geno3141 Apr 19, 2020