HOP Characteristics

What is the degree of

 $y\ =\ 3x^4+9x^2+4$  ?

• 2

• 3

• 4

• 9

Which of the following determines the end behavior of

 $y\ =\ x^4+12x$  ?

• x-intercept(s)

• y-intercept

• degree

• 12x term

What is the maximum numbers of zeros for

 $f\left(x\right)=x^4-35x^3+69x^2-431x+67$  ?

• 4

• 3

• 2

• 1

The graph of which polynomial points up at both ends?

• an even polynomial with a positive leading coefficient

• an even polynomial with a negative leading coefficient

• an odd polynomial with a positive leading coefficient

• an odd polynomial with a negative leading coefficient

What are the zeros for the function graphed below?

• -2, 2

• -2, 2, 12

• -3, -2, 1, 2

• -3, -2, 1, 2, 12

Which of the following is the graph of

 $y=x^4-2x^2+3$  ?

• 
• 
• 
• 

Which function is graphed above?

• $y\ =\ x^6+4x^4-3$

• $y\ =\ x^6+4x^4-3x^2$

• $y\ =\ -x^6+4x^4-3$

• $y\ =\ -x^6+4x^4-3x^2$

The graphs of which polynomial points down on the left end and points up on the right end?

• an even polynomial with a positive leading coefficient

• an even polynomial with a negative leading coefficient

• an odd polynomial with a positive leading coefficient

• an odd polynomial with a negative leading coefficient

Which function is graphed above?

• $y=x^3-3x+3$

• $y\ =\ x^3-3x-3$

• $y=-x^3-3x+3$

• $y=-x^3-3x-3$

The graph of which polynomial points down at both ends?

• $y=-x^3+4x^2+2x-5$

• $y=x^3+4x^2+2x-5$

• $y=-x^4+4x^2+2x-5$

• $y=x^4+4x^2+2x-5$