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$100 $200 $200 $100 $200 $300 $300 $400 $400 $500 $500

$100 $200 $200 $100 $200 $300 $300 $400 $400 $500 $500

The graph of the equation is shown below.

The graph of the equation is shown below.

What is y = (x + 2 1) ?

What is y = (x + 2 1) ?

The equation of the parabola with this vertex is f(x) = (x + 8)2

The equation of the parabola with this vertex is f(x) = (x + 8)2 - 4

The function for this graph is f(x) = (x – 2 5) – 1.

The function for this graph is f(x) = (x – 2 5) – 1.

What is

What is

This quadratic equation has a maximum point at (3, -4).

This quadratic equation has a maximum point at (3, -4).

What is f(x) = (x – 2 3) – 4?

What is f(x) = (x – 2 3) – 4?

The cost in millions of dollars for a company to manufacture x thousand automobiles

The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the function C(x) = 3 x 2 – 18 x + 63. Find the number of automobiles that must be produced to minimize the cost.

3 thousand automobiles

3 thousand automobiles

Determine if the following is a polynomial function. If so, give the degree. f(x)

Determine if the following is a polynomial function. If so, give the degree. f(x) = x 2 – 3 x 7

Use the leading coefficient test to determine the end behavior f(x) = 6 x

Use the leading coefficient test to determine the end behavior f(x) = 6 x 3 + 3 x 2 – 3 x - 1

Up to the right, Down to the left.

Up to the right, Down to the left.

Find the zeros and their multiplicities of the function. F(x) = 4(x + 5)(x

Find the zeros and their multiplicities of the function. F(x) = 4(x + 5)(x – 1)2

-1, multiplicity 1 1, multiplicity 2

-1, multiplicity 1 1, multiplicity 2

Graph the function. F(x) = x 2(x – 3)(x – 2)

Graph the function. F(x) = x 2(x – 3)(x – 2)

Use synthetic division to divide. 3 x 2 + 29 x + 56 x+7

Use synthetic division to divide. 3 x 2 + 29 x + 56 x+7

3 x + 8

3 x + 8

Divide using synthetic division.

Divide using synthetic division.

4 x + 3 2 x R. 45 + 2 5 x + 10

4 x + 3 2 x R. 45 + 2 5 x + 10 x + 20.

Find f(-3) given f(x) = 4 x 3 – 6 x 2 – 5

Find f(-3) given f(x) = 4 x 3 – 6 x 2 – 5 x + 6

Solve the equation 3 x 3 – 28 x 2 + 51 x –

Solve the equation 3 x 3 – 28 x 2 + 51 x – 14 = 0 given that 2 is one solution.

2, 7, 1/3

2, 7, 1/3

Use synthetic division to find all zeros of f(x) = 3 x – 2

Use synthetic division to find all zeros of f(x) = 3 x – 2 3 x – 18 x + 40.

Use the rational zeros theorem to list all possible rational zeros of f(x) =

Use the rational zeros theorem to list all possible rational zeros of f(x) = x 5 – 3 x 2 + 6 x + 14

Use the rational zeros theorem to list all possible rational zeros of f(x) =

Use the rational zeros theorem to list all possible rational zeros of f(x) = 3 3 x – 2 17 x + 18 x + 8 and then use this root to find all zeros of the function.

-1/3, 2, 4

-1/3, 2, 4

Use Descartes’ Rule of Signs to determine the possible number of positive real zeros

Use Descartes’ Rule of Signs to determine the possible number of positive real zeros and negative real 6 zeros for f(x) = x – 8.

1 positive real zero 1 negative real zero

1 positive real zero 1 negative real zero

Give all the roots of f(x) = 3 x + 2 5 x +

Give all the roots of f(x) = 3 x + 2 5 x + 12 x – 18

Use the graphing calculator to determine the zeros of f(x) = 3 x –

Use the graphing calculator to determine the zeros of f(x) = 3 x – 2 6 x –x+6 1, 3, 4, or 5

1, -1, 6

1, -1, 6

Use the Upper Bound Theorem to determine which of the following is a good

Use the Upper Bound Theorem to determine which of the following is a good upper bound for f(x) = 4 x + 3 x – 1, 3, 4, or 5 2 7 x – 5 x + 10

Find all roots of the equation. Hint: -2 i is one root. 4 x

Find all roots of the equation. Hint: -2 i is one root. 4 x – 2 21 x – 100 = 0

Write the polynomial function as a product of linear factors. f(x) = 4 x

Write the polynomial function as a product of linear factors. f(x) = 4 x – 2 3 x – 4

Factor completely. f(x) = 3 x + 2 4 x –x-4

Factor completely. f(x) = 3 x + 2 4 x –x-4

Give an equation for the polynomial function that has zeros of 2, -2, and

Give an equation for the polynomial function that has zeros of 2, -2, and 3 and has a degree of 3.

f(x)= (x – 2)(x + 2)(x – 3) Other answers are possible.

f(x)= (x – 2)(x + 2)(x – 3) Other answers are possible.

Solve the inequality and give your solution in interval notation. (x – 3)(x +

Solve the inequality and give your solution in interval notation. (x – 3)(x + 2) > 0

Solve the inequality and give your solution in interval notation. x 2 + 3

Solve the inequality and give your solution in interval notation. x 2 + 3 x – 18 > 0

Solve the inequality and give your solution in interval notation. x 2 – 2

Solve the inequality and give your solution in interval notation. x 2 – 2 x – 24 < 0

Solve the inequality and give your solution in interval notation. x 2 – 3

Solve the inequality and give your solution in interval notation. x 2 – 3 x – 10 < 0

Solve the inequality and give your solution in interval notation. x 2 + 6

Solve the inequality and give your solution in interval notation. x 2 + 6 x < – 8

-10 < x < 10 -10 < y < 60

-10 < x < 10 -10 < y < 60