Quiz5: Polynomials (graphing)

 $G\left(x\right)=2x^4-\frac{1}{3}x^2-\sqrt{14}x^3+2x-\frac{5}{3}$  
State the degree, type, and leading coefficient for this polynomial.

• Degree is 4, quartic (4th degree), leading coefficient is 2

• Degree is 3, cubic, leading coefficient is $\sqrt{14}$  

• Degree is 2, quadratic, leading coefficient is  $-\frac{1}{3}$  

• Degree is 2, cubic, leading coefficient is 4

What is the degree of the polynomial?

9x⁵ - x⁴ + 2x

• 9

• 5

• 4

• 2

What is the leading coefficient of the polynomial?
  7x⁵ - 9x² + 6x

• 7
• 5
• 9
• 2

State the Degree and Leading Coefficient, given this graph.

• Even Degree

  Negative Leading Coeff.

• Even Degree

  Positive Leading Coeff.

• Odd Degree

  Negative Leading Coeff.

• Odd Degree

  Positive Leading Coeff.

What is the end-behavior of the function $y=-7x^4+7x^3-9x^2+10$  ?

• as $x\rightarrow-\infty f\left(x\right)\rightarrow-\infty$ 
  as  $x\rightarrow\infty\ f\left(x\right)\rightarrow-\infty$  
  

• as $x\rightarrow-\infty\ f\left(x\right)\rightarrow-\infty$  
  as  $x\rightarrow\infty\ f\left(x\right)\rightarrow\infty$  

• as $x\rightarrow-\infty\ f\left(x\right)\rightarrow\infty$  
  as  $x\rightarrow\infty\ f\left(x\right)\rightarrow-\infty$  

• as  $x\rightarrow-\infty\ \ f\left(x\right)\rightarrow\infty$  
  as  $x\rightarrow\infty\ f\left(x\right)\rightarrow\infty$  

What is the end-behavior of the function shown by the graph?

• as $x\rightarrow-\infty f\left(x\right)\rightarrow-\infty$ 
  as  $x\rightarrow\infty\ f\left(x\right)\rightarrow-\infty$  
  

• as $x\rightarrow-\infty\ f\left(x\right)\rightarrow-\infty$  
  as  $x\rightarrow\infty\ f\left(x\right)\rightarrow\infty$  

• as $x\rightarrow-\infty\ f\left(x\right)\rightarrow\infty$  
  as  $x\rightarrow\infty\ f\left(x\right)\rightarrow-\infty$  

• as  $x\rightarrow-\infty\ \ f\left(x\right)\rightarrow\infty$  
  as  $x\rightarrow\infty\ f\left(x\right)\rightarrow\infty$  

Which equation MOST LIKELY matches the graph?

• $y=x^4-x^3+3x^2+2$

• $y=-x^4-x^3+3x^2+2$

• $y=x^4-x^3+3x^2-2$

• $y=-x^4-x^3+3x^2-2$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

Which equation best matches this graph?

• 
  

  $f(x)=\frac{1}{2}(x+6)(x+4)(x-10)$

• $g(x)=\frac{1}{2}(x+3)(x-2)(x-5)$
  

• $h(x)=\frac{1}{2}(x-3)(x+2)(x+5)$
  

• $p(x)=\frac{1}{2}(x+3)(x-2)(x+5)$
  

ZEROS are also known as... (choose all that apply)

• Roots

• Solutions

• y-intercepts

• x-intercepts

• factors

 $g\left(x\right)=x^6-7x^5+7x-9$  

State the maximum number of roots g(x) could have.

• 12

• 5

• 7

• 6