Polynomial Functions

The exponent of polynomial functions must be always _________.

• negative integers

• positive integers

• fractions

• radicals

What is the leading coefficient of the polynomial function f(x) =2x + x³ + 4?

• 1

• 2

• 4

• 0

How should the polynomial function f(x) = 2x + x³ + 3x⁵ + 4 be written in standard form?

• 𝑓(𝑥) = 𝑥³ + 2𝑥 + 3𝑥⁵+ 4

• 𝑓(𝑥) = 4 + 3𝑥⁵+ 2𝑥 + 𝑥³

• 𝑓(𝑥) = 4 + 2𝑥 + 𝑥³ + 3𝑥⁵

• 𝑓(𝑥) = 3𝑥⁵+ 𝑥³+ 2𝑥 + 4

From the choices, which polynomial function in factored form represents the given graph?

• 𝑦 = (𝑥 + 2)(𝑥 + 1)(𝑥 − 1)

• 𝑦 = (𝑥 + 1)(𝑥 − 1)(𝑥 − 2)

• 𝑦 = 𝑥(𝑥 + 2)(𝑥 + 1)(𝑥 − 1)

• 𝑦 = 𝑥(𝑥 + 1)(𝑥 − 1)(𝑥 − 2)

What are the end behaviors of the graph of 𝑓(𝑥) = −2𝑥 + 𝑥³+ 3𝑥⁵− 4?

• rises to the left and falls to the right

• falls to the left and rises to the right

• rises to both directions

• falls to both directions

A point where the function changes from decreasing to increasing or from increasing to decreasing values.

• Multiplicity of a solution

• Intercept of a Graph

• Turning Points

• Leading Coefficient Test

What is the degree of y = 6x⁵ + 5x² - 4x⁶?

• 2

• 3

• 4

• 6

What is the behavior of the graph of 𝑃(𝑥) = 𝑥⁴ – 2𝑥² + 1?

• rises to the left, falls to the right

• rises to the right, falls to the left

• falls to both sides

• rises to both sides

What is the y - intercept of the function 𝑦 = 𝑥³ – 4𝑥² + 𝑥 + 6

• 12

• 10

• 6

• 4

What are the x intercepts of the functions 𝑃(𝑥) = (𝑥 + 2)(𝑥 + 5)(𝑥 – 3)(𝑥 – 4)

• (-2, 0) (-5, 0) (3, 0) (4, 0)

• (2, 0) (5, 0) (-3, 0) (-4, 0)

• (0, -2) (0, -5) (0, 3) (0, 4)

• (0, 2) (0, 5) (0, -3) (0, -4)