WorksheetsProject
Total questions: 161
Worksheet time: 7hrs 19mins
f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.
x = -4, x = 3, x = -2
x = -4, x = 3, x = 2
x = -4, x = -3, x = 2
x = 4, x = 3, x = 2
Which functions have a negative leading coefficient?
A
B
C
D
Select all the even degree functions.
A
B
C
D
- Leading Coeff.
+ Leading Coeff.
- Leading Coeff.
+ Leading Coeff.
f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.
x = -4, x = 3, x = -2
x = -4, x = 3, x = 2
x = -4, x = -3, x = 2
x = 4, x = 3, x = 2
Is this function even or odd?
Even
Odd
Not enough information
Select all the even degree functions.
A
B
C
D
Which functions have a negative leading coefficient?
A
B
C
D
- Leading Coeff.
+ Leading Coeff.
- Leading Coeff.
+ Leading Coeff.
h(x) = 3x + 3
g(x) = -4x + 1
Find (h + g)(10)
hint: add h(x) and g(x), then plug in 10
-6
6
82
-72
3x2 – 8x + 1
g(x)=x-2
Find (g/f)(x)
(x+3)/(x-2)
(x-2)/(x+3)
-2/3
3/2
What is the sign of the leading coefficient of the function?
Positive
Negative
Not enough information
Is this function even or odd?
Even
Odd
Not enough information
Given the graph of the polynomial function, describe the relative minimum, round to the nearest hundredth.
(a)
14x-10
-8x+2
2x+2
2x-2
g(x) = x+3, find
f(x) * g(x).
4x2+24
4x2+20x+24
4x2+12x+24
4x2+4x+24
g(x) = 2x - 5
h(x) = 4x + 5
Find (g - h)(3)
hint: subtract g(x) and h(x), then plug in 3
18
16
-16
28
Is the function odd or even?
Odd
Even
What is the sign of the leading coefficient of the function?
Positive
Negative
Not enough information
Describe the end behavior:
As x →∞ f(x)→∞
As x → −∞ f(x) →−∞
As x → ∞ f(x) →−∞
As x → −∞ f(x)→−∞
As x →∞ f(x) →∞
As x →−∞ f(x)→∞
As x →∞ f(x)→ −∞
As x →−∞ f(x) →∞
h(x) = 3x + 3
g(x) = -4x + 1
Find (h + g)(10)
hint: add h(x) and g(x), then plug in 10
-6
6
82
-72
g(x)=x-2
Find (g/f)(x)
(x+3)/(x-2)
(x-2)/(x+3)
-2/3
3/2
What is the sign of the leading coefficient of the function?
Positive
Negative
Not enough information
Is the function odd or even?
Odd
Even
Identify the degree of the polynomial and the sign of the leading coefficient
Degree - Even
Degree - Odd
Degree - Even
Degree - Odd
Describe the end behavior:
As x →∞ f(x)→∞
As x → −∞ f(x) →−∞
As x → ∞ f(x) →−∞
As x → −∞ f(x)→−∞
As x →∞ f(x) →∞
As x →−∞ f(x)→∞
As x →∞ f(x)→ −∞
As x →−∞ f(x) →∞
Determine the end behavior of the polynomial by identifying the degree and leading coefficient.
f(x) = 5x4 - x + 6
UP-UP
UP-DOWN
DOWN-UP
DOWN-DOWN
The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph. Determine the end behavior of the polynomial.
f(x) = 2x3 - x + 5
Left up Right up
Left up Right down
Left down Right up
Left down Right down
14x-10
-8x+2
2x+2
2x-2
x2+x+9
x2-x+9
x2-x
x2-x+18
7x5 - 9x2 + 6x
f(x) = -2x3 + 7x
What is the sign of the leading coefficient of the function?
Positive
Negative
Not enough information
Describe the end behavior:
As x →∞ f(x)→∞
As x → −∞ f(x) →−∞
As x → ∞ f(x) →−∞
As x → −∞ f(x)→−∞
As x →∞ f(x) →∞
As x →−∞ f(x)→∞
As x →∞ f(x)→ −∞
As x →−∞ f(x) →∞
Is the function odd or even?
Odd
Even
9x5 - x4 + 2x
Which of the following is the parent function of a quintic equation?
f(x) = a
f(x) = x4
f(x) = x3
f(x) = x5
Find and select each real zero and its multiplicity
What family does this function belong to
f(x)=−x3
LInear
Quadratic
Cubic
Quartic
Identify the degree of the polynomial and the sign of the leading coefficient
Degree - Even
Degree - Odd
Degree - Even
Degree - Odd
Determine the end behavior of the polynomial by identifying the degree and leading coefficient.
f(x) = 5x4 - x + 6
UP-UP
UP-DOWN
DOWN-UP
DOWN-DOWN
7x5 - 9x2 + 6x
f(x) = -2x3 + 7x
The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph. Determine the end behavior of the polynomial.
f(x) = 2x3 - x + 5
Left up Right up
Left up Right down
Left down Right up
Left down Right down
(3 + i)(1 - 4i)
9x5 - x4 + 2x
Which of the following is the parent function of a quintic equation?
f(x) = a
f(x) = x4
f(x) = x3
f(x) = x5
f(x) = -x2 - 4x + 12.
What family does this function belong to
f(x)=−x3
LInear
Quadratic
Cubic
Quartic
y = 2x2 - 9x + 5
Factor by grouping and then set = 0 to find zeros.
P(x) = x3 -3x2-5x+15
(3 + i)(1 - 4i)
f(x) = -x2 - 4x + 12.
y = 2x2 - 9x + 5
y = -x2 - 5x + 12
Factor by grouping and then set = 0 to find zeros.
P(x) = x3 -3x2-5x+15
Multiply (2x + 3)(2x - 3)
4x2 - 12x + 9
4x2 + 12x - 9
4x2 - 9
4x2 + 9
Identify the range:
{3, 4, 5, 6, 7}
{3, 4, 5}
{6, 7}
Identify the domain:
{3, 4, 5, 6, 7}
{3, 4, 5}
{6, 7}
Is it a function?
Yes
No
Evaluate: f(4) = -2x2 + 3x - 8
-28
68
36
-60
Is this a function?
Yes
No
Is this a function:
(-1, 1), (-2, 2), (-1, -1), (-2, -2)
Yes
No
Is this a function:
(-1, 1), (-2, 2), (-3, 2), (-4, 1)?
Yes
No
Simplify:
(4x3 + 2x2 - 5x - 9) - (-3x3 - 5x2 - x + 11)
7x3 + 7x2 - 4x - 20
7x3 - 3x2 - 6x + 2
x3 - 3x2 - 6x + 2
x3 + 7x2 - 4x - 20
Multiply (2x + 3)(2x - 3)
4x2 - 12x + 9
4x2 + 12x - 9
4x2 - 9
4x2 + 9
Identify the range:
{3, 4, 5, 6, 7}
{3, 4, 5}
{6, 7}
Identify the domain:
{3, 4, 5, 6, 7}
{3, 4, 5}
{6, 7}
Evaluate: f(4) = -2x2 + 3x - 8
-28
68
36
-60
Is it a function?
Yes
No
Simplify: (x - 5)2
x2 - 25
x2 + 25
x2 - 10x + 25
x2 - 5x - 25
Is this a function?
Yes
No
Is this a function:
(-1, 1), (-2, 2), (-1, -1), (-2, -2)
Yes
No
Is this a function:
(-1, 1), (-2, 2), (-3, 2), (-4, 1)?
Yes
No
Simplify:
(4x3 + 2x2 - 5x - 9) - (-3x3 - 5x2 - x + 11)
7x3 + 7x2 - 4x - 20
7x3 - 3x2 - 6x + 2
x3 - 3x2 - 6x + 2
x3 + 7x2 - 4x - 20
Simplify:
(4x3 + 2x2 - 5x - 9) + (-3x3 - 5x2 - x + 11)
7x3 + 7x2 - 6x + 2
x3 - 3x2 - 6x + 2
7x3 - 3x2 - 6x + 2
x3 + 7x2 - 4x + 2
If f(x) = 4x3 + 5x2 - 3, find f(-2).
-415
-15
-55
-615
A function with degree 3 is called
constant
cubic
linear
quadratic
See question above.
A
B
C
D
E
P(x)=3x4-7x2-2x7-x+4?
What type of function is:
f(x) = 6x2 + 4 - 3x4 + 5x - 9x3
linear
quadratic
cubic
quartic
What is the leading coefficient of the function:
f(x) = 6x2 + 4 - 3x4 + 5x - 9x3
6
3
-3
4
Write a polynomial function with the given zeros.
A
B
C
D
Write a polynomial with the given zeros.
A
B
C
D
f(x) = x4 - 7x3 + 10x2
Find the zeros of f(x).
{0, 2, 5}
{0, 5}
{-4, 0, 2}
{0, 5/3, 2}
f(x) = x3 - x2 - x + 1
Find the zeros of f(x).
{-1, 0, 1}
{-1, 1}
{1}
{-1}
See question above.
A
B
C
D
E
See question above.
34
-34
20
32
-20
See question above.
A
B
C
D
E
A
B
C
D
A
B
C
D
Write a polynomial function with the given zeros.
A
B
C
D
Write a polynomial with the given zeros.
A
B
C
D
f(x) = x4 - 7x3 + 10x2
Find the zeros of f(x).
{0, 2, 5}
{0, 5}
{-4, 0, 2}
{0, 5/3, 2}
f(x) = x3 - x2 - x + 1
Find the zeros of f(x).
{-1, 0, 1}
{-1, 1}
{1}
{-1}
f(x) = 2x3 - x2 -x
Find the zeros of f(x).
{-½, 1}
{-1, 0, ½}
{-1, 0, 2}
{-½, 0, 1}
f(x) = x3 - 3x2 - 4x
Find the zeros of f(x).
{-4, 0, 1}
{-1, 4}
{-1, 0, 4}
{-4, 1}
A
B
C
D
A
B
C
D
f(x) = -3x4 + x3 - 2x2 + x - 1
What is the y-intercept of f(x)?
(-1, 0)
(0, -1)
(-3, 0)
(0, -3)
f(x) = -3x4 + x3 - 2x2 + x - 1
State the maximum and minimum number of zeros for f(x).
Max: 4 Min: 1
Max: 3 Min: 0
Max: 4 Min: 0
Max: 3 Min: 1
f(x) = -3x4 + x3 - 2x2 + x - 1
State the maximum number of turns the graph of f(x) could make.
3
4
2
1
f(x) = -3x4 + x3 - 2x2 + x - 1
What is the degree of f(x)?
3
1
4
2
f(x) = 2x3 - 3x2 + 4x -10
State the maximum and minimum number of zeros for f(x).
Max: 3 Min: 0
Max 2 Min: 0
Max: 1 Min: 1
Max: 3 Min: 1
f(x) = 2x3 - 3x2 + 4x -10
State the maximum number of turns the graph of f(x) could make.
3
2
1
0
f(x) = 2x3 - 3x2 + 4x -10
What is the degree of f(x)?
3
2
1
0
