Basics of Polynomial Functions

What is the degree of the function graphed here?

What is the degree of the polynomial function below? y = x³ + 4x - 5

What does the degree of a polynomial function tell you?

• how hot it is

• how many x-intercepts it can have

• how many y-intercepts it has

• how many terms it has

What is the degree of the following function?

y = 25 - x²

• The function has an Even degree
• The function has a Negative coefficient
• The function has an Odd degree
• The function has 3 real zeros

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum 

Tags

CCSS.HSF-IF.C.7A

Polynomial

• an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication.

• An infinite series with increasing powers (exponents) of a variable.

What is a Polynomial?

• 3x(5x+8)

• Dividend of 5 or more terms.

• A type of shape

• Sum of one or more Monomials.

Function: y = -3x⁴ +2x² - 8x + 9.
As x approaches infinity, what does y approach?

• infinity

• negative infinity

• 0

• -3