6.1 - Cubic Functions

Front

What is the Domain of all Cubic Functions in interval notation?

Back

(−∞,∞)

Front

What is the Range of all Cubic Functions in interval notation?

Back

(−∞,∞)

Front

Factor completely: x^2 - 6x + 8

Back

(x - 2)(x - 4)

Front

Identify the x-intercepts of the function y = x^3 - 5x^2 + 6x.

Back

x = 0, x = 2, x = 3

Front

What is the general form of a cubic function?

Back

y = ax^3 + bx^2 + cx + d, where a ≠ 0.

Front

What is the leading coefficient of the cubic function y = 2x^3 - 3x^2 + x - 5?

Back

2

Front

What is the end behavior of the cubic function y = -x^3?

Back

As x → ∞, y → -∞; As x → -∞, y → ∞.

Front

What is the significance of the x-intercepts in a cubic function?

Back

They represent the points where the graph intersects the x-axis.

Front

What does the term 'turning points' refer to in cubic functions?

Back

Points where the graph changes direction (local maxima or minima).

Front

How many turning points can a cubic function have?

Back

A cubic function can have at most 2 turning points.