Deck 3: Polynomial and Rational Functions

Question 1

The graph of the function g(x) is a translation of the graph of f (x) = x ³. Graph the function g(x) = (x - 1) ³.

A)


B)


C)


D)

Answer 1

Question 2

Graph the polynomial function.

A)


B)


C)


D)

Answer 2

Question 3

Let . Use synthetic division to find the value .

A)
B)
C)
D)
E)none of these

Answer 3

Question 4

Find the vertex of the parabola. y = x² - 6x + 9

A)(-3, 0)
B)(3, 0)
C)(0, 3)
D)(9, 0)
E)(3, -3)

Question 5

Use synthetic division to perform the division.

A)


B)


C)


D)

E)none of these

Question 6

Do the operation and express the answer in a + bi form. (8 - 10 i) + (5 + 7 i)

A)3 - 13 i
B)- 13 + 3 i
C)13 + 3 i
D)- 13 - 3 i
E)13 - 3 i

Question 7

Tell whether the function is even or odd. If it is neither, so indicate.

A)even
B)odd
C)neither

Question 8

Find a polynomial with the given zeros.

A)
B)
C)
D)
E)none of these

Question 9

Do the operation and express the answer in a + bi form.

A)- 11 + 18 i
B)11 + 9 i
C)- 11 + 9 i
D)- 11 - 9 i
E)11 - 9 i

Question 10

Use synthetic division to express in the form for the divisor .

A)
B)
C)
D)
E)none of these

Question 11

Find the vertex of the parabolic graph of the equation. y = 5(x - 8) ² + 4

A)(8, 0)
B)(64, 4)
C)(8, 5)
D)(4, 8)
E)(8, 4)

Question 12

Do the operation and express the answer in a + bi form.

A)16 - 3 i
B)- 16 + 2 i
C)- 3 + 2 i
D)3 - 2 i
E)16 + 2 i

Question 13

Graph the quadratic function. f (x) = x² + 3x

A)


B)


C)


D)

Question 14

Do the operation and express the answer in a + bi form.

A)19 i
B)- 19 i
C)- 190 i
D)- 19
E)19

Question 15

Graph the quadratic function. f (x) = - x² - 3x + 2

A)


B)


C)


D)

Question 16

Find the vertex of the parabola. y = 6x² - 2

A)(-2, 6)
B)(0, -2)
C)(6, -2)
D)(-2, 0)
E)(0, 6)

Question 17

Graph the quadratic function. f (x) = - 4x² + 2

A)


B)


C)


D)

Question 18

The graph of the function g(x) is a translation of the graph of f (x) = x ³. Graph the function g(x) = (x - 3) ³ - 1.

A)


B)


C)


D)

Question 19

Find a polynomial with the given zeros.

A)
B)
C)
D)
E)none of these

Question 20

Graph the quadratic function.

A)


B)


C)


D)

Question 21

Do the operation and express the answer in a + bi form.

A)- 8 i
B)- 40 i
C)- 8
D)8 i
E)8

Question 22

Graph the function.

A)


B)


C)


D)

Question 23

Graph the function

A)


B)


C)


D)

Question 24

Simplify the expression. i ^-6

A)i
B)- 3i
C)- i
D)- 1
E)1

Question 25

Find a polynomial with the given zeros.

A)
B)
C)
D)
E)none of these