Free Printable 12/4 Unit 2 Review

Worksheets

12/4 Unit 2 Review

Total questions: 31

Worksheet time: 2hrs 33mins

Name

Class

Date

What is f when x equals 4?

-5

What is f(6)?

3, -3

What is g(7) if:

-17

-13

Using the pictured graph, what is f(-3)?

-3

-1

Find h(5) using the equation.

-25

undefined

What is the degree of the polynomial function below?

y = x³ + 4x - 5

(a)

What are the x-intercepts of the following function?
y = 2(x - 1)(x +3)(x - 4)

1, 3 and 4

2, 1, -3, and 4

-1, 3, and -4

1, -3, and 4

What could be the equation for this graph?

y = -2x³+ 1x + 3

y = (x - 2)(x + 1)(x + 3)

y = (x + 2)(x - 1)(x - 3)

y = -2x² + 1x + 3

Find the factored form of the function graphed:

y = -(x + 1)(x - 1)(x - 2)

y= (x + 1)²(2 - x)

y = (-x + 1)²(x - 2)

y = -(x - 1)²(x + 2)

10.

Which of the following helps determine end behavior?

The leading term

The number of terms in the function

The y-intercept

The x-intercepts

11.

Determine the y-intercept of the function below:

f\left(x\right)=-3\left(x-1\right)\left(x+2\right)^2

(a)

12.

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

13.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

Leading Coefficient Positive
Degree - Even

Leading Coefficient Positive
Degree - Odd

Leading Coefficient Negative
Degree - Even

Leading Coefficient Negative
Degree - Odd

14.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

Leading Coefficient Positive
Degree - Even

Leading Coefficient Positive
Degree - Odd

Leading Coefficient Negative
Degree - Even

Leading Coefficient Negative
Degree - Odd

15.

What is the degree?

Positive

Negative

Odd

Even

16.

What are the zeros of the graph?

-4, -1, 2, 1 multiplicity 2

-4, -1, 1, 2

4, 1, -2, -1 multiplicity 2

4, 1, -1, -2

17.

Use the graph of f(x) to determine the real solutions to f(x)=0.

-10

2, 5

0, 7

no real solution

18.

Find the correct statement about the zeros.

−5 is a zero with multiplicity 1

−5 is a zero with multiplicity 2

−2 is a zero with multiplicity 1

2 is a zero with multiplicity 2

19.

If the there is a turning point on the x-axis, what does that mean about the multiplicity of that zero?

Even

Odd

None

20.

If the graph of a function crosses the x-axis, what does that mean about the multiplicity of that zero?

Even

Odd

None

21.

What is the multiplicity of the zero x=1 for the function $f\left(x\right)=x^2\left(x-1\right)^4\left(x+5\right)$ ?

22.

How does a multiplicity of 1 affect the graph?

bounce

cross

wiggle (change direction)

23.

Which root has even multiplicity?

-4

-1

24.

y = ^_(x + 2)(x - 1)²

y = -(x - 2)(x + 1)²

y = (x - 2)(x + 1)²

y = -x³

25.

f(x) = (x-4)²(x+1)

Even Degree
- Leading Coeff.

Even Degree
+ Leading Coeff.

Odd Degree
- Leading Coeff.

Odd Degree
+ Leading Coeff.

26.

Is the leading coefficient positive or negative

positive

negative

27.

For each function, state the maximum number of turns the graph could make. f (x) = x² + 6x + 9

28.

For each function, determine the real zeros and state the multiplicity of any repeated zeros.

{0 mult. 3, 5, 2}

{−2 mult. 3, 3, 1}

{0 mult. 3, 3, 2}

{2 mult. 3, 3, 3}

29.

For each function, determine the real zeros and state the multiplicity of any repeated zeros.

{0 mult. 3, 5, 2}

{−2 mult. 3, 3, 1}

{0 mult. 3, 3, 2}

{2 mult. 3, 3, 3}

30.

Complete the end behavior statement for the graph of f(x). As $x\rightarrow\infty,\ y\rightarrow\ ?$

$\infty$

$-\infty$

31.

Complete the end behavior statement for the graph of f(x). As $x\rightarrow-\infty,\ y\rightarrow\ ?$

$\infty$

$-\infty$

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12/4 Unit 2 Review

Total questions: 31

Worksheet time: 2hrs 33mins

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