Polynomial Degree / End Behavior

f(x) = 4 is a ___ function

• quartic

• quadratic

• constant

• linear

The following graph shows a ___ function

• linear

• quadratic

• quartic

• cubic

f(x) = 2x⁵ – x³ + 7x² will have at most _ turning points

• 5

• 4

• 6

• 3

A seventh degree polynomial will have at most _ x-intercepts and at most _ turning points.

• 7; 6

• 7; 7

• 6; 7

• 6; 6

Which of the following must be true about the polynomial graphed?

• leading coefficient negative

• odd degree

• even degree

• none of the above

If a polynomial's leading coefficient is positive, then which must be true?

• as x → –∞, f(x) → ∞

• as x → –∞, f(x) → –∞

• as x → ∞, f(x) → ∞

• as x → ∞, f(x) → –∞

Which of the following polynomials could represent the graph shown?

• f(x) = x⁴ - x² + 5x - 4

• g(x) = 3x³ - x² + 2x - 4

• h(x) = -x⁶ + x² - 3x - 4

• k(x) = -x⁷ + x - 4

Which is true about the graph of f(x) = –x³ + 3x² – 5x?

• rises on left, falls on right

• falls on left, rises on right

• falls on left, falls on right

• rises on left, rises on right

Which is true about the graph of f(x) = x⁶ + 2x⁵ – 7x²?

• rises on right

  ends go in opposite directions

• falls on right

  ends go in opposite directions

• rises on right

  ends go in same direction

• falls on right

  ends go in same direction

Identify the zeros f(x) = x³ + 3x² – 10x. [use factoring]

• x = 0, 2, 5

• x = -5, 0, 2

• x = -2, 0, 5

• x = -3, 0, 10

Tags

CCSS.HSF-IF.C.7C