Free Printable Polynomial graph characteristics

1.

Is the function represented by this graph of an Even or Odd degree? Is the leading coefficient (LC) positive or negative?

a)

Even degree, Positive LC

b)

Odd Degree, Positive LC

c)

Even degree, Negative LC

d)

Odd degree, Negative LC

2.

What are the zeros for the given polynomial? (Check all that apply)

a)

-4

b)

-3

c)

-2

d)

-1

e)

2

3.

Select all of the intervals where the graph is increasing? (Select all that apply)

a)

$\left(-2.75,\ 0.75\right)$

b)

$\left(-\infty,\ -2.75\right)$

c)

$\left(0.75,\ \infty\right)$

4.

For the given polynomial graph, state the relative maximum?

a)

8 at x = 1

b)

1 at x = 2

c)

2 at x = 1

d)

-2 at x = -1

5.

For the given polynomial graph, on which x-interval is the function increasing?

a)

$\left(2,\ \infty\right)$

b)

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

c)

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

d)

\left(-2,\ 2\right)

6.

How would you describe the point at (0,6)?

a)

Relative Minimum

b)

Absolute Minimum

c)

Relative Maximum

d)

Absolute Maximum

7.

Check all the intervals where this graph is decreasing.

a)

(-∞, -1)

b)

(-1, 0)

c)

(0, 1)

d)

(1, ∞)

8.

Check all the intervals where this graph is increasing.

a)

(-∞, -1)

b)

(-1, 0)

c)

(0, 1)

d)

(1, ∞)

9.

Which of the following does this graph not show?

a)

absolute max

b)

absolute min

c)

relative max

d)

relative min

10.

Pick all statements that apply to this polynomial.

a)

It is an odd degree function.

b)

It is an even degree function.

c)

It has a positive leading coefficient.

d)

It has a negative leading coefficient.

e)

It has 3 real roots.

Polynomial graph characteristics

Total questions: 10

Worksheet time: 20mins

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