Describing key features of a graph of a polynomial function: explain how to sketch a graph of the function f(x) = x3 + 2x2 – 8x. be sure to include end-behavior, zeroes, and intervals where the function is positive and negative.

End behavior:

The parent function is: f(x) = x³, which starts (from the left side) at -∞ and ends (on the right side) at +∞.

Zeroes:

f(x) = x³ + 2x² - 8x

0 = x³ + 2x² - 8x

0 = x(x² + 2x - 8)    

0 = x(x + 4)(x - 2)

0 = x         0 = x + 4         0 = x - 2

x = 0            x = -4              x = 2

Intervals:

Put the zeroes in order: -4, 0, 2

since f(x) is increasing from the left then the interval from -4 to 0 is positive and the interval from 0 to 2 is negative.

Graph:

see attachment

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

after 1 year: 221 deer

step-by-step explanation:

30% of 170 is 51. 170+51=221