Unit 3 Review

1

Select the transformation for the function g(x) from the parent function f(x)=x^3 and click "show your work" to graph g(x).

2 units left

2 units right

2 units up

2 units down

1

Graph the function below and select the point that lies on the curve.

(1,1)

(-2,2)

(0,2)

1

Select ALL the transformations for the function g(x) from the parent function f(x)=x^3 and click "show your work" to graph g(x).

vertical compression by 1/2

2 units down

reflection over the x-axis

1 unit right

1

Select ALL the transformations for the function g(x) from the parent function f(x)=x^3 and click "show your work" to graph g(x).

3 units up

vertical stretch by 4

4 units up

3 units down

1

Match each polynomial function with its correct end behavior.
*remember to add the exponents to find the degree in factored form

f(x)=-(x+1)(x-3)^2(x+2)
f(x)=(x+4)^2(x-1)
f(x)=(x+2)(x+6)(x-2)
f(x)=x^2(x-7)^2
f(x)=-x(x+3)^2
f(x)=-x(x+5)(x-4)(x+6)

1

Select ALL the zeros of f(x) and graph the function.

1

Write a function in factored form for the graph below. Assume the leading coefficient 'a' is either 1 or -1.
Type f(x)=

1

Write a function in factored form for the graph below. Assume the leading coefficient 'a' is either 1 or -1.
Type f(x)=

1

Select ALL the functions that could be represented by this graph.

A

B

C

D

1

Simplify and write your answer in standard form. No spaces!

1

Simplify and write your answer in standard form. No spaces!

1

Factor completely.

1

Factor completely.

1

Factor completely.

1

Factor completely.

1

Factor completely.

1

Factor completely.

1

Factor completely.

1

Find the zeros.

1

A

B

C

1

Use the rational root theorem to list ALL possible zeros for the polynomial.

1

What is the y-intercept of the polynomial?

1

What is the y-intercept of the polynomial?

1

Use synthetic division to find the quotient and the remainder, if there is one.

1

Use synthetic division to find the quotient and the remainder, if there is one.

1

Write the polynomial below in factored form, given that (x-1) is a factor.

1

Find the zeros.

1

Is (x+4) a factor of the polynomial below?

1

Write the polynomial in factored form and graph it.
Show clear points at the x and y intercepts.

1

Divide and find the quotient.

1

Divide and find the quotient.

1

Identify the transformations and graph. Your curve must include 3 clear points.

4 units left

4 units right

vertical stretch by 2

2 units up

Unit 3 Review

Select the transformation for the function g(x) from the parent function f(x)=x^3 and click "show your work" to graph g(x).

Graph the function below and select the point that lies on the curve.

Select ALL the transformations for the function g(x) from the parent function f(x)=x^3 and click "show your work" to graph g(x).

Select ALL the transformations for the function g(x) from the parent function f(x)=x^3 and click "show your work" to graph g(x).

Match each polynomial function with its correct end behavior.*remember to add the exponents to find the degree in factored form

Select ALL the zeros of f(x) and graph the function.

Write a function in factored form for the graph below. Assume the leading coefficient 'a' is either 1 or -1.Type f(x)=

Write a function in factored form for the graph below. Assume the leading coefficient 'a' is either 1 or -1.Type f(x)=

Select ALL the functions that could be represented by this graph.

Simplify and write your answer in standard form. No spaces!

Simplify and write your answer in standard form. No spaces!

Factor completely.

Factor completely.

Factor completely.

Factor completely.

Factor completely.

Factor completely.

Factor completely.

Find the zeros.

Use the rational root theorem to list ALL possible zeros for the polynomial.

What is the y-intercept of the polynomial?

What is the y-intercept of the polynomial?

Use synthetic division to find the quotient and the remainder, if there is one.

Use synthetic division to find the quotient and the remainder, if there is one.

Write the polynomial below in factored form, given that (x-1) is a factor.

Find the zeros.

Is (x+4) a factor of the polynomial below?

Write the polynomial in factored form and graph it. Show clear points at the x and y intercepts.

Divide and find the quotient.

Divide and find the quotient.

Identify the transformations and graph. Your curve must include 3 clear points.

Select the transformation for the function g(x) from the parent function f(x)=x^3 and click "show your work" to graph g(x).

Graph the function below and select the point that lies on the curve.

Select ALL the transformations for the function g(x) from the parent function f(x)=x^3 and click "show your work" to graph g(x).

Select ALL the transformations for the function g(x) from the parent function f(x)=x^3 and click "show your work" to graph g(x).

Match each polynomial function with its correct end behavior.*remember to add the exponents to find the degree in factored form

Select ALL the zeros of f(x) and graph the function.

Write a function in factored form for the graph below. Assume the leading coefficient 'a' is either 1 or -1.Type f(x)=

Write a function in factored form for the graph below. Assume the leading coefficient 'a' is either 1 or -1.Type f(x)=

Select ALL the functions that could be represented by this graph.

Simplify and write your answer in standard form. No spaces!

Simplify and write your answer in standard form. No spaces!

Factor completely.

Factor completely.

Factor completely.

Factor completely.

Factor completely.

Factor completely.

Factor completely.

Find the zeros.

Use the rational root theorem to list ALL possible zeros for the polynomial.

What is the y-intercept of the polynomial?

What is the y-intercept of the polynomial?

Use synthetic division to find the quotient and the remainder, if there is one.

Use synthetic division to find the quotient and the remainder, if there is one.

Write the polynomial below in factored form, given that (x-1) is a factor.

Find the zeros.

Is (x+4) a factor of the polynomial below?

Write the polynomial in factored form and graph it. Show clear points at the x and y intercepts.

Divide and find the quotient.

Divide and find the quotient.

Identify the transformations and graph. Your curve must include 3 clear points.

Match each polynomial function with its correct end behavior.
*remember to add the exponents to find the degree in factored form

Write a function in factored form for the graph below. Assume the leading coefficient 'a' is either 1 or -1.
Type f(x)=

Write a function in factored form for the graph below. Assume the leading coefficient 'a' is either 1 or -1.
Type f(x)=

Write the polynomial in factored form and graph it.
Show clear points at the x and y intercepts.

Match each polynomial function with its correct end behavior.
*remember to add the exponents to find the degree in factored form

Write a function in factored form for the graph below. Assume the leading coefficient 'a' is either 1 or -1.
Type f(x)=

Write a function in factored form for the graph below. Assume the leading coefficient 'a' is either 1 or -1.
Type f(x)=

Write the polynomial in factored form and graph it.
Show clear points at the x and y intercepts.