Deck 2: Polynomial and Rational Functions

Question 1

Write the complex number in standard form.

Answer 1

A

Question 2

Select the graph of the function . Compare the graph of this function with the graph of Reflection in -axis

Answer 2

B

Question 3

Select the correct graph of the function given by . Explain how the graph of function g differs (if it does) from the graph of ea
F)

Answer 3

D

Question 4

Use synthetic division to divide.

Question 5

Solve the inequality and graph the solution on the real number line

Question 6

Write the quadratic function in standard form.

Question 7

Perform the operation and write the result in standard form.

Question 8

Select the correct graph of the following function.

Question 9

If , use synthetic division to factor the polynomial completely and list all real solutions of the equation.

Question 10

Find all the zeros of the function and write the polynomial as a product of linear fac- tors.

Question 11

The total revenue earned per day (in dollars) from a pet-sitting service is given by

Question 12

Simplify the complex number and write it in standard form.

Question 13

Identify all intercepts of

Question 14

The cost C (in millions of dollars) removing p% the industrial and municipal pollu- tants discharged into a river is given by Select the correct graph of the cost function.

Question 15

Use long division to divide.

Question 16

Find all the rational zeros of the function.

Question 17

Use long division to divide.

Question 18

Perform the operation and write the result in standard form.

Question 19

Find all the rational zeros of the function

Question 20

Solve the inequality and write the solution set in interval notation.

Question 21

Find all the rational zeros of the function

Question 22

Find all the zeros of the function and write the polynomial as a product of linear fac- tors.

Question 23

Perform the operation and write the result in standard form.

Question 24

Simplify the complex number and write it in standard form.

Question 25

Write the complex number in standard form.

Question 26

Use long division to divide.

Question 27

Perform the operation and write the result in standard form.

Question 28

Select the correct graph of the function given by . Explain how the graph of function g differs (if it does) from the graph of ea
F)

Question 29

, use synthetic division to factor the polynomial completely and list all real solutions of the equation.

Question 30

Select the graph of the function . Compare the graph of this function with the graph of

Question 31

Use long division to divide.

Question 32

Find all the rational zeros of the function.

Question 33

Select the correct graph of the functions f and g in the same viewing window. Zoom out sufficiently far to show that the right-hand and left-hand behaviors of and appear identical.

Question 34

Identify all intercepts of

Question 35

Find the domain of in the expression. Use a graphing utility to verify your result.

Question 36

Write the quadratic function in standard form.

Question 37

Use synthetic division to divide.

Question 38

Select the correct graph of the following function.

Question 39

The cost C (in millions of dollars) removing p% the industrial and municipal pollu- tants discharged into a river is given by Select the correct graph of the cost function.

Question 40

The total revenue earned per day (in dollars) from a pet-sitting service is given by

Question 41

Use the zero or root feature of a graphing utility to approximate the zeros of accurate to the nearest thousandth.

Question 42

Use the position equation , where represents the height of an object (in feet), represents the initial velocity of the object (in feet per second), represents the
Initial height of the object (in feet), and represents the time (in seconds).
A projectile is fired straight upward from ground level with an initial velocity of feet
Per second. At what instant will it be back at ground level?

Question 43

Write as a product of linear factors.

Question 44

Write the complex number in standard form.

Question 45

Simplify the complex number and write it in standard form.

Question 46

Perform the addition or subtraction and write the result in standard form.

Question 47

Solve the inequality and write the solution set in interval notation.

Question 48

Use the position equation , where represents the height of an object (in feet), represents the initial velocity of the object (in feet per second), represents the
Initial height of the object (in feet), and represents the time (in seconds).
A projectile is fired straight upward from ground level with an initial velocity of feet
Per second. At what instant will it be back at ground level?

Question 49

Select the graph of the function and determine the zeros of the polynomial.

Question 50

Use long division to divide.

Question 51

Write the standard form of the equation of the parabola that has a vertex at and passes through the point

Question 52

Use the Remainder Theorem and synthetic division to find the function value. Verify your answers using another method.

A) -849
B) -847
C) -851
D) -848
E) -845

Question 53

Find the domain of in the expression. Use a graphing utility to verify your result.

Question 54

Use long division to divide.

Question 55

Solve the inequality and graph the solution on the real number line

Question 56

Describe the right-hand and the left-hand behavior of the graph of

A) Because the degree is even and the leading coefficient is negative, the graph falls to the left and rises to the right.
B) Because the degree is even and the leading coefficient is negative, the graph rises to the left and falls to the right.
C) Because the degree is even and the leading coefficient is negative, the graph falls to the left and falls to the right.
D) Because the degree is odd and the leading coefficient is negative, the graph rises to the left and rises to the right.
E) Because the degree is even and the leading coefficient is negative, the graph rises to the left and rises to the right.

Question 57

Write the complex conjugate of the complex number. Then multiply the number by its complex conjugate.

Question 58

Select the graph of the function . Compare the graph of this function with the graph of

Question 59

Find all the real zeros of the polynomial function.

Question 60

Find all the zeros of the function and write the polynomial as a product of linear fac- tors.

Question 61

Use the Remainder Theorem and synthetic division to find the function value. Verify your answers using another method.

A) -387
B) -385
C) -381
D) -384
E) -383

Question 62

Write the standard form of the equation of the parabola that has a vertex at and passes through the point

Question 63

Perform the addition or subtraction and write the result in standard form.

Question 64

Use the zero or root feature of a graphing utility to approximate the zeros of accurate to the nearest thousandth.

Question 65

Use long division to divide.

Question 66

Find vertical asymptotes of the following function.

Question 67

Select the graph of
F)

Question 68

Find all the zeros of the function and write the polynomial as a product of linear fac- tors.

Question 69

Select the graph of the function and determine the zeros of the polynomial.

Question 70

Select the graph of the function . Compare the graph of this function with the graph of

Question 71

Determine the domain of

Question 72

Write the complex conjugate of the complex number. Then multiply the number by its complex conjugate.

Question 73

Use long division to divide.

Question 74

Describe the right-hand and the left-hand behavior of the graph of

A) Because the degree is even and the leading coefficient is negative, the graph falls to the left and rises to the right.
B) Because the degree is even and the leading coefficient is negative, the graph rises to the left and falls to the right.
C) Because the degree is even and the leading coefficient is negative, the graph falls to the left and falls to the right.
D) Because the degree is even and the leading coefficient is negative, the graph rises to the left and rises to the right.
E) Because the degree is odd and the leading coefficient is negative, the graph rises to the left and rises to the right.

Question 75

Simplify the complex number and write it in standard form.

Question 76

Select the correct graph of the following function.

Question 77

Determine the equations of the vertical and horizontal asymptotes of the graph of the function

Question 78

Use the position equation , where represents the height of an object (in feet), represents the initial velocity of the object (in feet per second), represents the
Initial height of the object (in feet), and represents the time (in seconds).
A projectile is fired straight upward from ground level with an initial velocity of feet
Per second. At what instant will it be back at ground level?

Question 79

Find all the real zeros of the polynomial function.

Question 80

Write the complex number in standard form.