12 - Multiplicity, Degree & End Behavior Review

Given
 $f\left(x\right)\ =\ 10x^2\left(2x-2\right)^3\left(x^2+3\right)$ ,
what is the multiplicity of the x-intercept $x=0$  ?

• 10

• 3

• 2

• 0

Tags

CCSS.HSF-IF.C.7C

Given  $f\left(x\right)\ =\ \left(2x\ +6\right)^7\left(x-3\right)^4$ ,
what is the multiplicity of the x-intercept  $x=-3$  ?

• 7

• 2

• 6

• 4

Tags

CCSS.HSF-IF.C.7C

At the root  $x=1$  on  $f\left(x\right)\ =\ \left(3x+3\right)^7\left(6x-6\right)^2\left(x^2+1\right)$  the graph...

• Bounces off of  the x-axis like a parabola

• Passes through the x-axis like a line

• Passes through the x-axis like a "wave"

•  $x=1$  is not a root

What is the highest degree among terms in this polynomial?

6x² + 7x⁴ + x3 + x

• 1

• 2

• 3

• 4

Classify by the DEGREE:
2x² - 5

• 1
• 2
• 3
• 4

Classify by the DEGREE:
4x³ - 5x² + 2x - 1

• 1
• 2
• 3
• 4

What is the degree?

• Positive
• Negative
• Odd
• Even

What is the degree?

• Positive
• Negative
• Odd
• Even

What is the End behavior on the left side

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

What is the End behavior on the left side

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