Week 3

Last updated 30 days ago

7 questions

Required

Library

Week 3

Last updated 30 days ago

7 questions

Required

Question 1

Select all equations that represent a polynomial function.

y=x^{4}+10x^{3}-2x+3

y=3x^{3}+2x^{-2}-2x+4

y=x^{4}+2x^{3}-2^x+3

y=\sqrt5x+3

y=\frac{1}{5}x^{3}-2x+6

Question 2

If (x+2) is a factor of f(x)=x^{3}+3x^2-kx+4, determine the value of k

Required

Question 3

For each of the following binomials below, determine if it is a factor of f(x)=4x^{4}-x^{3}-8x^{2}-40. Explain your reasoning for the choices.

x+2

x-4

x-6

x+8

Required

Question 4

A function with three turning points and end behaviour from Quadrant 3 to Quadrant 4 has the following characteristics

Has a negative leading coefficient

Has a positive leading coefficient

Has a minimum of 1 x-int

Has a minimum of 1 y-int

Is an odd function

Has a maximum of 1 y-int

Has a minimum degree of 2

Has a minimum degree of 4

Has a minimum of 2 x-int

Required

Question 5

A polynomial function has a range of [5, \infty). The degree of the function is__________ and the leading coefficient is __________.

Required

Question 6

A polynomial function is represented by f(x)=-2x(x-2)^{2}(x+1). The function has a degree of __________. It has an end behaviour of Q__________ to Q__________. It has __________ x-intercepts. The root with a multiplicity of 2 is at __________

Required

Question 7

Graph the polynomial y=\frac{1}{4}(x-2)(2x+5)(x+4)^{2}.
For the polynomial function above, the root of multiplicity 2 is ...

2

-4

(x-4)

-2\frac{1}{2}

Question 1

Select all equations that represent a polynomial function.

y=x^{4}+10x^{3}-2x+3

y=3x^{3}+2x^{-2}-2x+4

y=x^{4}+2x^{3}-2^x+3

y=\sqrt5x+3

y=\frac{1}{5}x^{3}-2x+6

Question 2

If (x+2) is a factor of f(x)=x^{3}+3x^2-kx+4, determine the value of k

Question 3

For each of the following binomials below, determine if it is a factor of f(x)=4x^{4}-x^{3}-8x^{2}-40. Explain your reasoning for the choices.

x+2

x-4

x-6

x+8

Question 4

A function with three turning points and end behaviour from Quadrant 3 to Quadrant 4 has the following characteristics

Has a negative leading coefficient

Has a positive leading coefficient

Has a minimum of 1 x-int

Has a minimum of 1 y-int

Is an odd function

Has a maximum of 1 y-int

Has a minimum degree of 2

Has a minimum degree of 4

Has a minimum of 2 x-int

Question 5

A polynomial function has a range of [5, \infty). The degree of the function is__________ and the leading coefficient is __________.

Question 6

A polynomial function is represented by f(x)=-2x(x-2)^{2}(x+1). The function has a degree of __________. It has an end behaviour of Q__________ to Q__________. It has __________ x-intercepts. The root with a multiplicity of 2 is at __________

Question 7

Graph the polynomial y=\frac{1}{4}(x-2)(2x+5)(x+4)^{2}.
For the polynomial function above, the root of multiplicity 2 is ...

2

-4

(x-4)

-2\frac{1}{2}

Week 3

Week 3

Select all equations that represent a polynomial function.

If (x+2) is a factor of f(x)=x^{3}+3x^2-kx+4, determine the value of k

For each of the following binomials below, determine if it is a factor of f(x)=4x^{4}-x^{3}-8x^{2}-40. Explain your reasoning for the choices.

A function with three turning points and end behaviour from Quadrant 3 to Quadrant 4 has the following characteristics

Graph the polynomial y=\frac{1}{4}(x-2)(2x+5)(x+4)^{2}.For the polynomial function above, the root of multiplicity 2 is ...

Select all equations that represent a polynomial function.

If (x+2) is a factor of f(x)=x^{3}+3x^2-kx+4, determine the value of k

For each of the following binomials below, determine if it is a factor of f(x)=4x^{4}-x^{3}-8x^{2}-40. Explain your reasoning for the choices.

A function with three turning points and end behaviour from Quadrant 3 to Quadrant 4 has the following characteristics

Graph the polynomial y=\frac{1}{4}(x-2)(2x+5)(x+4)^{2}.For the polynomial function above, the root of multiplicity 2 is ...

Graph the polynomial y=\frac{1}{4}(x-2)(2x+5)(x+4)^{2}.
For the polynomial function above, the root of multiplicity 2 is ...

Graph the polynomial y=\frac{1}{4}(x-2)(2x+5)(x+4)^{2}.
For the polynomial function above, the root of multiplicity 2 is ...