For each of the following polynomial functions describe the end behaviour of the function.

a.

b.

c.

d. e. f.

a. The leading coefficient is -2 and the degree is 3. This indicates the function is a cubic that extends from Quadrant II to Quadrant IV. As the x-values decrease, the graph tends towards positive infinity. As the x-values increase, the graph tends toward negative infinity.
b. The leading coefficient is -4 and the degree is 1. This indicates the function is a linear that extends from Quadrant II to Quadrant IV. As the x-values decrease, the graph tends towards positive infinity. As the x-values increase, the graph tends towards negative infinity.
c. The leading coefficient is and the degree is 2. This indicates the function is a quadratic that extends from Quadrant III to Quadrant IV. As the x-values decrease, the graph tends towards negative infinity. As the x-values increase, the graph tends towards negative infinity.
d. This curve indicates the function is a cubic that extends from Quadrant III to Quadrant I. This means it must have a positive leading coefficient and degree 3. As the x-values decrease, the graph tends towards negative infinity. As the x-values increase, the graph tends towards positive infinity.
e. This curve indicates the function is a quadratic that extends from Quadrant II to Quadrant I. This means it must have a positive leading coefficient and degree 2. As the x-values decrease, the graph tends towards positive infinity. As the x-values increase, the graph tends towards positive infinity.
f. This curve indicates the function is a cubic that extends from Quadrant III to Quadrant I. This means it must have a positive leading coefficient and degree 3. As the x-values decrease, the graph tends towards negative infinity. As the x-values increase, the graph tends towards positive infinity.