Quiz #2- Polynomial Functions 14-1 & 14-2

Which of the following is NOT a polynomial?

• $f\left(x\right)=3x^3-5x^2+7x-11$

• $f\left(x\right)=\frac{1}{2}x^2+5x^3-8$

• $f\left(x\right)=0.86x-6x^4+3x^2-5x^3+9$

• $f\left(x\right)=-3x^5+2x^3-8x^{\frac{1}{2}}+6$

Is the following function a polynomial? If it is, state the degree and leading coefficient

 $f\left(x\right)=-8x^2+7x^3+2x-5$  

• No, it is not a polynomial

• Yes, it is a polynomial. 3rd degree. Leading coefficient=7

• Yes, it is a polynomial. 7th degree. Leading coefficient=3

• Yes, it is a polynomial. 2nd degree. Leading coefficient=-8

Examine the following graph. Describe the leading coefficient and degree.

• Leading coefficient is positive and degree is even

• Leading coefficient is negative and degree is even

• Leading coefficient is positive and degree is odd

• Leading coefficient is negative and degree is odd

Examine the following graph. Describe the end behavior.

• $x\longrightarrow-\infty\ \ \ \ y\rightarrow\infty$ ; $x\rightarrow\infty\ \ \ \ \ \ y\rightarrow-\infty$
  

• $x\longrightarrow-\infty\ \ \ \ \ y\rightarrow\infty$ ;
  $x\rightarrow\infty\ \ \ \ \ y\rightarrow\infty$
  

• $x\longrightarrow-\infty\ \ \ \ y\rightarrow-\infty$ ; $x\rightarrow\infty\ \ \ \ \ \ \ y\rightarrow-\infty$
  

• $x\longrightarrow-\infty\ \ \ \ y\rightarrow-\infty$ ; $x\rightarrow\infty\ \ \ \ \ \ y\rightarrow\infty$
  

Examine the following graph. Name any x- and y-intercepts.

• x-int (0,2) & y-int (0,4)

• x-int (2,0) & y-int (0,5)

• x-int (2,0) & y-int (0,4)

• x-int (0,2) & y-int (0,5)

Examine the following graph. Name any relative maximum and minimum values of the function.

• max @ y=5 ; min @ y=0

•  $\max\ @\ \ \infty\ ;\ \min\ @\ y=4$ 

• max @ y=5 ; min @ y=4

•  $\max\ @\ \ \infty\ ;\ \min\ @\ y=0$ 

What is the minimum number of times a cubic (3rd degree) function must cross the x-axis?

• 0

• 1

• 2

• 3

What is the maximum number of times a cubic (3rd degree) function must cross the x-axis?

• 0

• 1

• 2

• 3

Which of the following polynomials could be the graph of:

 $f\left(x\right)=2x^3-3x^2-1$  

• 
• 
• 
• 

Which of the following equations could be the equation to the following graph:

• $y=5x^3-2x+7$

• $y=-2x^3-4x+10$

• $y=5x^4-8x+7$

• $y=-2x^4-8x+7$