Quiz about 1st Nine Weeks Exam Review (Alg 2)

Question 1

What is the parent function for an absolute value function?

Accepted Answer

f(x)=IxI

Answer

f(x)=x3

Answer

f(x)=x

Answer

f(x)=x2

Question 2

What is the parent function for a cubic function?

Accepted Answer

f(x)=x3

Answer

f(x)=x

Answer

f(x)=IxI

Answer

f(x)=x2

Question 3

Describe the transformation that is applied to the parent function.
f(x) = IxI -5

Accepted Answer

Shifts down 5

Answer

Shifts left 5

Answer

Shifts right 5

Answer

Shifts up 5

Question 4

Describe the transformation that is applied to the parent function.
f(x) = IxI -5

Accepted Answer

Shifts down 5

Answer

Shifts left 5

Answer

Shifts right 5

Answer

Shifts up 5

Question 5

Dale graphed the absolute value parent function. Then,he reflected the graph over the x-axis, shifted it four units to the right and three units up. What is the new equation?

Accepted Answer

f(x) = -Ix-4I +3

Answer

f(x) = Ix+4I +3

Answer

f(x) = Ix+4I -3

Answer

f(x) = -Ix+3I +4

Question 6

What is the equation to this graph?

Accepted Answer

f(x)= Ix+2I +1

Answer

f(x)= Ix-2I +1

Answer

f(x)= Ix+2I -1

Answer

f(x)= Ix-2I -1

Question 7

Is this the correct graph of g(x) ?

Accepted Answer

Yes

Answer

No

Question 8

Which of the 3 piecewise equations is depicted by the graph? (Take your time)

Accepted Answer

f(x)

Answer

g(x)

Answer

h(x)

Question 9

Name the parent function.

Accepted Answer

linear

Answer

constant

Answer

quadratic

Answer

exponential

Question 10

Question 10.

Accepted Answer

y = (x + 1)² - 2

Answer

y = (x - 1)² - 2

Answer

y = (x - 2)² + 1

Answer

y = (x + 2)² - 1

Question 11

Question 11.

Accepted Answer

y = Ix - 1I + 3

Answer

y = Ix + 3I - 1

Answer

y = Ix - 3I - 1

Answer

y = Ix + 1I + 3

Question 12

Question 12.

Accepted Answer

y = -(x - 2)² + 4

Answer

y = (x - 2)² + 4

Answer

y = -(x - 4)² + 2

Answer

y = -(x + 2)² + 4

Question 13

Find all rational zeros

f(x) = x³-3x²-x+3 (HINT: Use grouping method first...)

Accepted Answer

-1,1,3

Answer

2,4,3

Answer

3,2,1

Answer

4,5,6

Question 14

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4?

Accepted Answer

7

Answer

4

Answer

2

Answer

1

Question 15

Find all the roots of y=x³-2x²+4x-8 (Hint: Factor by GROUPING first, then do quadratic formula on one of the factors to solve it, then set the other one equal to zero and solve)

Accepted Answer

2, 2i, -2i

Answer

-2, 2i, -2i

Answer

2,-2, 2i

Answer

1, 2i, 4

Question 16

How many zeros does the polynomial function

P(x) = 3x⁴+4x-8 have? (HINT: what is the degree?)

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 17

(3 - 2i) + (4 + 3i)

Accepted Answer

(7 + i)

Answer

(7 + 5i)

Answer

(1 - i)

Answer

(7 - i)

Question 18

Find all the zeros of f(x) = x³ -3x² + x - 3

Accepted Answer

3, i, and -i

Answer

3 and -1

Answer

1 and - 3

Answer

3 and i

Question 19

The degree of the polynomial determines the number of roots.

Accepted Answer

True

Answer

False

Question 20

What does it mean to find the inverse of a function?

Accepted Answer

the x's and y's are switched

Answer

the x's and y's are divided by 2

Answer

the x's and y's are made negative

Answer

the x's and y's are the same

Question 21

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

Accepted Answer

(4, 1) and (6, 4)

Answer

(1, 4) and (4, 6)

Answer

(-4, -1) and (-6, -4)

Answer

(-1, -4) and (-4, -6)

Question 22

What is the inverse of the points
(1,3)(2,4)(6,8)

Accepted Answer

(3,1)(4,2)(8,6)

Answer

(-3,-1)(-4,-2)(-8,-6)

Answer

(1,3)(2,4)(6,8)

Answer

(-1,-3)(-2,-4)(-6,-8)

Question 23

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

y =1

Answer

y = 0

Answer

y = x + 1

Question 24

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

Accepted Answer

solve for y

Answer

replace y with f^-1(x)

Answer

solve for x

Answer

find the greatest common factor

Question 25

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

Accepted Answer

19

Answer

23

Answer

-10

Answer

None of these.

Question 26

f(x) = 3x + 10
g(x) = x - 2
Find f(g(x))

Accepted Answer

3x + 4

Answer

3x2 - 2

Answer

3x + 8

Answer

None of these.

Question 27

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

Accepted Answer

5x² + 6x - 1

Answer

11x2 - 1

Answer

5x⁴ + 6x² - 1

Answer

5x² + 8x - 1

Question 28

f(x) = (x-1)²

g(x) = 3x+4

h(x) = 3x-1

Find f(g(h(3)))

Accepted Answer

729

Answer

8

Answer

28

Answer

54

Question 29

Are the following inverses of each other?

Accepted Answer

False

Answer

True

Question 30

Find the inverse of f(x) = -3x²+5

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 31

are these inverse functions?

Accepted Answer

no

Answer

yes

Answer

no way to tell

Question 32

If f(x)=3x, what is f^-1(x)?

Accepted Answer

x/3

Answer

3x2

Answer

3x + 3x

Answer

3x-1

Question 33

Question 33.

Accepted Answer

Not Inverse Functions

Answer

Inverse Functions

Question 34

Question 34.

Accepted Answer

Inverse Functions

Answer

Not Inverse Functions

Question 35

Divide:

(4x² - 24x + 35) / (2x - 5)

Accepted Answer

2x - 7

Answer

2x - 12

Answer

2x + 12

Answer

2x + 7

Question 36

Find the product:
(y - 3)(y + 7)

Accepted Answer

y² + 4y - 21

Answer

y2 - 21

Answer

y² + 10y - 21

Answer

2y - 10

Question 37

What type of polynomial is
4x² - 21x + 5

Accepted Answer

Trinomial

Answer

Monomial

Answer

Binomial

Question 38

What type of polynomial is
4x³+ 2

Accepted Answer

Binomial

Answer

Monomial

Answer

Trinomial

Question 39

What is the degree of the following polynomial?
2x³

Accepted Answer

Third Degree

Answer

First Degree

Answer

Second Degree

Answer

Fourth Degree

Question 40

What is the degree of the following polynomial?
3x⁴ + 4x + 1

Accepted Answer

Fourth Degree

Answer

First Degree

Answer

Second Degree

Answer

Third Degree

Question 41

Question 41.

Accepted Answer

x - 7

Answer

x2 - 7

Answer

x + 7

Answer

x²+ 3x - 54

Question 42

Question 42.

Accepted Answer

2x² + 3x + 8 + (7/x-4)

Answer

2x³ + 3x + (7/x-4)

Answer

2x² + 3x + 8

Answer

2x² - x + 10 + (6/x-4)

Question 43

Question 43.

Accepted Answer

x + 5

Answer

x + 5 + (2/2x - 4)

Answer

x - 8

Answer

x - 5 + (3/2x - 4)

Question 44

The answer to a division problem is known as the...?

Accepted Answer

quotient

Answer

product

Answer

sum

Answer

difference

Question 45

If you are missing a term in your polynomials (both dividend and divisor), you must put a zero as a coefficient place holder for that term.

Accepted Answer

True

Answer

False

Answer

Only for the dividend

Answer

Only for the divisor

Question 46

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

Accepted Answer

6   -4   0   3   1

Answer

3   0   -4   6   1

Answer

6   -4   3   1   0

Answer

-6   4   0   -3   -1

Question 47

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

Accepted Answer

4

Answer

0

Answer

2

Answer

6

Question 48

Is this division problem worked correctly?

Accepted Answer

This is incorrect!

Answer

This is correct!

Question 49

To add or subtract polynomials,

Accepted Answer

you add or subtract the coefficients of like terms.

Answer

you multiply each term of the first polynomial by each term of the second polynomial.

Question 50

To multiply two polynomials,

Accepted Answer

you multiply each term of the first polynomial by each term of the second polynomial.

Answer

you add or subtract the coefficients of like terms.

Question 51

Find the sum.

Accepted Answer

20x⁴ - 3x³ - 6x - 2

Answer

20x⁴ - 3x³ + 8x² - 6x - 2

Answer

20x⁴ - 7x³ - 7x² - 6x - 2

Answer

20x⁸ - 3x³ - 6x² - 2

Question 52

Find the difference.

Accepted Answer

-10x⁵ + 8x⁴ - 7x³ - 20x² - x + 18

Answer

-10x⁵ - 8x⁴ - 7x³ - 18x² + x + 18

Answer

18x⁵ - 8x⁴ - 7x³ + 2x² + x + 18

Answer

10x⁵ - 8x⁴ + 7x³ + 20x² + x - 18

Question 53

Find the product.

Accepted Answer

-10x³ + 23x² -24x + 18

Answer

5x² - 6x +9

Answer

5x³ + 7x² -24x + 18

Answer

-10x³ + 23x² + 18

Question 54

The shortcut called synthetic division can be used for any polynomial division problem.

Accepted Answer

False

Answer

True

Question 55

Divide.

Accepted Answer

3x² - 2x - 2 + ^-4/_x-1

Answer

3x² - 8x + 6

Answer

3x² - 8x + 8 + ^-10/_x-1

Answer

3x² - 2x - 4

Question 56

What is this formula?

Accepted Answer

This is the quadratic formula.

Answer

This is the standard formula.

Answer

This is the square root formula.

Answer

This is the Pythagorean formula

Question 57

Use the quadratic formula to solve 2x² + 2x - 12.

Accepted Answer

2, -3

Answer

-2, 3

Answer

2, 3

Answer

-2, -3

Question 58

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

Accepted Answer

Option B is correct

Answer

No Real Solution

Answer

C.

Answer

D.

Question 59

Solve 2x² + 7x - 15 = 0

Accepted Answer

-5 or 3/2

Answer

-3/2 or 5

Answer

No Solution

Answer

0.7 or 5

Question 60

QUESTION 5

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 61

What should you do first in solving this equation?

x² + 6x - 13 = 3

Accepted Answer

Subtract 3 from both sides.

Answer

Factor

Answer

Write down: a = 1, b = 6, c = -13

Answer

Add 3 to both sides.

Question 62

Solve using the quadratic formula...

9x² = 4 + 7x (HINT: get all the terms to one side FIRST, then use quadratic formula)

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

No solution

Question 63

6 x 2 =

Accepted Answer

12

Answer

8

Answer

4

Question 64

22 + 54 =

Accepted Answer

76

Answer

87

Answer

32

Answer

79

1st Nine Weeks Exam Review (Alg 2)

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