Free Printable Polynomial Function Checkpoint Review

1.

What is the degree of the polynomial

$10x^3-7x^2+9x^5-x^8+7$

a)

3

b)

2

c)

5

d)

8

2.

What is the domain of the graph?

a)

$\left(-\infty,\ \infty\right)$

b)

$\left(\infty,\ 1\right)$

c)

$\left(1,\ \infty\right)$

d)

Cannot be determined.

3.

What is the leading coefficient of the polynomial?

$f\left(x\right)\ =\ 3x^3-6x^5-2x^2-5\ ?$

a)

$3$

b)

$-6$

c)

$-2$

d)

-5

4.

Check all the even degree polynomials:

a)

b)

c)

d)

e)

5.

What is the domain and range of the polynomial?

f\left(x\right)\ =\ 3x^{7\ }-\ 2x^{4\ }-\ 3x\ +1

a)

$D\left(-\infty,\ \infty\right)\ R\left(1,\ \infty\right)$

b)

$D\left(-\infty,\ \infty\right)\ R\left(2,\ \infty\right)$

c)

$D\left(1,\ \infty\right)\ R\left(-\infty,\ \infty\right)$

d)

$D\left(-\infty,\ \infty\right)\ R\left(-\infty,\ \infty\right)$

6.

a)

y = ^_(x + 2)(x - 1)²

b)

y = -(x - 2)(x + 1)²

c)

y = (x - 2)(x + 1)²

d)

y = -x³

7.

a)

y = x(x - 3)(x - 2)

b)

y = x(x - 3)²(x+2)

c)

y = x(x + 3)²(x - 2)

d)

y = -x(x + 3)²(x - 2)

8.

Which of the following correctly identifies the End Behavior?

a)

b)

c)

d)

9.

Which of the following correctly identifies the End Behavior?

a)

b)

c)

d)

10.

Is the leading coefficient positive or negative

a)

positive

b)

negative

11.

Which root has a multiplicity of 2?

a)

-1

b)

2

c)

4

d)

-4

12.

What is the equation in factored form of this graph?

a)

f(x) = (x-4)(x-1)²(x+2)(x+4)

b)

f(x) = (x-4)(x+1)²(x+2)(x+4)

c)

f(x) = (x-4)(x-1)²(x-2)(x+4)

d)

f(x) = (x+4)(x+1)²(x-2)(x-4)

13.

What are the decreasing intervals?

a)

(- ∞, -1.5) & (0, 1.5)

b)

(-1.5, 0) & (1.5, ∞)

c)

(- ∞, -1.5) & (-1.5, 0)

d)

(-1.5, 0) & (0, 1.5)

14.

What are the increasing intervals?

a)

(- ∞, 0) & (2, ∞ )

b)

(-1, 0) & (2,4)

c)

(0,2) & (-3, -7)

d)

(-8, -3) & (-7, 8)

15.

What are the increasing intervals?

a)

(- ∞, -1) & (-1, 0) & (0, 1) & (1, ∞)

b)

(3, 4) & (3, 8)

c)

(- ∞, -1) & (1, ∞)

d)

(-1, 0) & (1, ∞)

16.

Which of the following is a 5th degree trinomial with a leading coefficient of -2?

a)

$-2x^5+3x-1$

b)

$5x^{-2}+3x-1$

c)

$-2x^5+3x^{14}+2x^3+x^2-10$

d)

$-2x+5$

17.

How many real zeros are shown in the graph?

a)

1

b)

2

c)

3

d)

4

18.

Find the correct statement about the zeros.

a)

−5 is a zero with multiplicity 1

b)

−5 is a zero with multiplicity 2

c)

−2 is a zero with multiplicity 1

d)

2 is a zero with multiplicity 2

19.

The graph of f(x) is shown here. Which TWO statements correctly identify the end behavior? You are selecting TWO choices for this one!

a)

$as\ \ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

b)

$as\ \ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

c)

$as\ \ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$

d)

$as\ \ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$

20.

The graph of a polynomial function is shown. How many turning points does this graph have?

a)

2

b)

3

c)

4

d)

5

21.

The graph of f(x) is shown here. Which statement best describes the function?

a)

The function has an odd degree and a negative leading coefficient.

b)

The function has an odd degree and a positive leading coefficient.

c)

The function has an even degree and a negative leading coefficient.

d)

The function has an even degree and a positive leading coefficient.

22.

The graph of f(x) is shown here. Which statement best describes the function?

a)

The function has an odd degree and a negative leading coefficient.

b)

The function has an odd degree and a positive leading coefficient.

c)

The function has an even degree and a negative leading coefficient.

d)

The function has an even degree and a positive leading coefficient.

23.

Describe the graph correctly.

a)

1 absolute min, 3 relative max and 3 relative min

b)

4 relative min and 4 relative max

c)

1 absolute max, 3 relative max and 2 relative min

d)

1 absolute min, 1 absolute max, 2 relative max

24.

Points B, D and F represent

a)

Relative Minimums

b)

Relative Maximums

c)

Absolute minimums

d)

Absolute maximums

25.

What are the Relative Maximums on this graph?

a)

Point A, B and E

b)

Point A, C, and E

c)

Point B, D, and F

d)

Point A, C, D, and F

Polynomial Function Checkpoint Review

Total questions: 25

Worksheet time: 37mins

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