Free Printable Unit 4 Polynomial Functions

Worksheets

Unit 4 Polynomial Functions

Total questions: 25

Worksheet time: 6hrs 15mins

Name

Class

Date

The function shown has:

Degree two with negative leading coefficient.

Degree three with negative leading coefficient.

Degree four with negative leading coefficient.

Degree four with positive leading coefficient.

Which of the following could be a possible equation for the function shown?

f(x) =-2x³ + x² - 5x + 1

f(x) = 2x³ - 4x² + x + 1

f(x) = 3x² + 5x + 1

f(x) = -2x³ +3x - 1

Select all the graphs which show even degree functions.

What is the degree of the function:

f(x) = 6x² + 4 - 3x⁴ + 5x - 9x³

What is the leading coefficient of the function:

f(x) = 6x² + 4 - 3x⁴ + 5x - 9x³

-3

A function with degree 3 is called

constant

cubic

linear

quadratic

If f(x) = 4x³ + 5x² - 3, find f(-2).

-415

-15

-55

-615

Describe the type of polynomial shown.

Even degree, negative leading coefficient

Even Function

Odd degree, negative leading coefficient

Even degree, positive leading coefficient

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

Left side: Rises
Right side: Rises

Left Side: Rises
Right side: Falls

Left side: Falls
Right side: Rises

Left side: Falls
Right side: Falls

10.

What is the maximum number of turning points for the graph of this polynomial function?

f(x) = 2x³ - 3x² + 4x -10

11.

The polynomial function f(x) = -3x⁴ + x³ - 2x² + x - 1

will cross the y-axis at which point?

(-1, 0)

(0, -1)

(-3, 0)

(0, -3)

12.

Which polynomial listed could be represented by the given graph?

f(x) = 2x³

f(x) = -2x³ + 7x³ + 3x² -5x + 8

f(x) = -2x⁴

f(x) = 2x⁴ - 3x³ + 5x² - 3x + 4

13.

The degree of the polynomial will NOT help you determine the____________

maximum number of x-intercepts

maximum number of turning points

end behavior of the graph.

the y-intercept.

14.

What is the range of this quadratic function?

All real numbers.

[2, infinity)

[4, infinity)

(negative infinity, 4]

15.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

y = 1.5x + 12

y = 12x + 1.5

y = 0.67x - 8

y = -8x + 0.67

16.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

12 chapters

15 chapters

18 chapters

21 chapters

17.

The chart below tracts starting salaries for health care workers since the year 2000. Using linear regression, find the equation of best fit. Round decimals to 3 places.

y = 839.721x + 27541.812

y = 27541.812x - 839.721

y = 27541.812x + 839.721

y = 839.721x - 27541.812

18.

Write the equation for the linear regression shown.

$y=ax+b$

$y=0.6x+0.1$

$y=0.72x+r$

$y=0.1x+0.6$

19.

Based on the table, which function can best be used to model this situation?

h(t) = 99t² + 858

h(t) = -4.9t² + 295t + 0.6

h(t) = -4.9t² + 295t + 2

h(t) = 99t² + 1,470.3

20.

Which of the following quadratic equations best represents the following data?

y = 7x² - 3x

y = 3x² - 2x + 1

y = 6x² + 3x - 2

y = 7x² - 3x + 1

21.

What is the y-intercept of the following cubic function?

(1, 0)

(0, 2)

(-1, 0)

(2, 0)

22.

Which equation represents the following graph?

y = 3x + 2

y = -2x + 3

y = 2x + 3

y = -3x + 2

23.

Which is the graph of y= -x + 2?

24.

What is the range of the graph?

All real numbers

To infinity and beyond

y ≥ -1

x ≥ 0

25.

What is the domain and the range for the graph?

Domain : -2 ≤ x ≤ 2
Range : 0 ≤ y ≤ 4

Domain : 0 ≤ x ≤ 4
Range : -2 ≤ y ≤ 2

Domain : All real #s
Range : y ≤ 4

Domain : -2 ≤ x ≤ 2
Range : y ≤ 4

100 %

Unit 4 Polynomial Functions

Total questions: 25

Worksheet time: 6hrs 15mins

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