Topic 3.1 Graphing Polynomial Functions

Topic 3.1 Graphing Polynomial Functions

You will be able to graph polynomial functions, predict the end behavior, and sketch graphs showing key features

Write Polynomials in Standard Form

Highest exponent to the smallest (constant last)
 $3x^3+4x^2-10x+12$  

When written in standard form, the first term is called the LEADING COEFFICIENT.

Multiple Choice

The following polynomial is written in standard form:
7x³ - 11x² + 8x - 5

• True
• False

Multiple Select

Which of these is in Standard Form?

•  $4x^2+12x-13x^3$  

•  $5-3x$  

•  $2x^4-12x^2+5x-9$  

•  $5x^5+4x^{\text{4}}+12x^3-23x+15$  

Multiple Choice

When a polynomial is written in standard form, the coefficient of the first term is called the _____________.

• Boss coefficient
• Leading coefficient
• Best coefficient
• Greatest common coefficient

Understanding End Behavior

• Write the Polynomial in Standard Form

• Degree of the Leading Coefficient

• Sign of the Leading Coefficient

• https://www.youtube.com/watch?v=1isCU-_YLoo

Multiple Choice

What is the degree?

• Positive 
• Negative
• Odd 
• Even

Multiple Choice

What is the degree?

• Positive
• Negative
• Odd
• Even

Multiple Choice

What is the leading coefficient?

• Positive 
• Negative
• Odd 
• Even

Multiple Choice

What is the leading coefficient?

• Positive
• Negative
• Odd
• Even

Multiple Choice

What is the End behavior on the right side

•  x→∞, y→∞
•  x→⁻∞, y→∞
•  x→⁻∞, y→0
•  x→∞, y→⁻∞

Multiple Choice

What is the End behavior on the right side

• x →-∞, y→∞
• x →-∞, y→-∞
• x →∞, y→∞
• x →∞, y→-∞

Multiple Choice

What is the End behavior on the left side

• x →-∞, y→∞
• x →∞, y→-∞
• x →-∞, y→-∞
• x →∞, y→∞