5.27 Polynomial Functions

Using desmos, graph -x³ + 3x²

What is the domain?

• (-∞, ∞)

• [-1, 3]

• (-1, 3)

• (0, 2)

Using desmos, graph -x³ + 3x²

What is the range?

• (-∞, ∞)

• [0, 4]

• (0, 4)

• (1, 2)

Using desmos, graph -x³ + 3x²

What is the relative maximum?

• (-∞, ∞)

• [0, 0]

• (2, 4)

• (3, 0)

Using desmos, graph -x³ + 3x²

What is the relative minimum?

• (-∞, ∞)

• (0, 0)

• (2, 4)

• (3, 0)

Using desmos, graph -x³ + 3x²

What is (are) the increasing interval(s)?

Check all that apply.

• (-∞, 0)

• (0, 2)

• (2, 4)

• (0, 0)

• (2, ∞)

Using desmos, graph -x³ + 3x²

What is (are) the decreasing interval(s)?

Check all that apply.

• (-∞, 0)

• (0, 2)

• (2, 4)

• (0, 0)

• (2, ∞)

Using desmos, graph -x³ + 3x²

What is the end behavior?

As x → -∞, f(x) → ?

• ∞

• -∞

Using desmos, graph -x³ + 3x²

What is the end behavior?

As x → ∞, f(x) → ?

• ∞

• -∞

Using desmos, graph -x⁴ + 4x² - 3x - 2

What is the domain?

• (-∞, ∞)

• (-∞, 6.5)

• (-2, 1.5)

• (-2.5, 2)

Using desmos, graph -x⁴ + 4x² - 3x - 2

What is the range?

• (-∞, ∞)

• (-∞, 6.49)

• (-1.91, 1.57)

• (-2.59, 1.91)