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This page shows questions in the Algebra I Functions - Interpreting Functions public release module at MSDE. Algebra 1
"Algebra I Functions - Interpreting Functions"

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This is test content.

The function f is defined by f of x equals 7 fifths x minus 7.

Graph y equals f of x on the coordinate plane shown.

To graph the line, select two points on the coordinate plane. A line will be drawn through the points.

This is a drag and drop question that allows you to select text and place it in an appropriate answer space.

Two quadratic relationships, J and K, are represented in the following table and graph, respectively.

The figure shows a table labeled, J, and a graph labeled, K,. Table, J,. The table has 2 columns and 7 rows of data. The heading of column 1 is x, and the heading of column 2 is y. The data are as follows.  Row 1: x equals negative 4;  y equals 10.  Row 2: x equals negative 3; y equals 0.  Row 3: x equals negative 2; y equals negative 6.  Row 4: x equals negative 1; y equals negative 8.  Row 5: x equals 0; y equals negative 6.  Row 6: x equals 1; y equals 0.  Row 7: x equals 2; y equals 10.  Graph K.  The graph shows a parabola in the x y plane with the origin labeled O. The numbers negative 8 through 8, in increments of 2, are indicated on both axes. The parabola opens downward and has a vertex at the point with coordinates 0.5 comma 6.3.  It crosses the x axis at negative 2, the y axis at 6, and the x axis again at 3. Note that the coordinates of the vertex are approximate values.

In the following table, indicate which of the relationships have each feature.

Move a phrase into each box.

J only K only Both J and K
Feature Relationships
A distance of 5 units between its x ‑intercepts
A y ‑intercept 6 units from the origin
A minimum value

This is a fill in the blank question that allows you to enter only numbers.

A sequence is defined by an=−5+(n−1)14, where n is a positive integer.

What is the value of a10?

Enter your answer in the space provided.

a10=

Student substitutes 10 for n in the equation.

This is a question with 2 parts, including a question with drop-down menus from which you must select an option to fill in the blank.

The function f is defined by f(x)=(x−5)2−20 for all real numbers x.

What is the range of f?

Select from the drop-down menus to correctly complete the sentence.

The range of f is all real numbers  
   
  .

This is a multiple choice question that allows you to select only one option.

A student read a 303-page book in 7 days. The table shows the total number of pages the student had read at the end of each day for the 7 days.

Pages Read in a Book
Day Total Pages Read at End of Day
1 20
2 45
3 77
4 116
5 166
6 227
7 303

What was the average number of pages the student read per day from the end of day 2 to the end of day 6?

  1. A.
    37.8
  2. B.
    43.3
  3. C.
    45.5
  4. D.
    56.5

This is a multiple choice question that allows you to select only one option.

John has to type a 2,000-word business research report, and he types at a rate of 40 words per minute. The function R(m)=(2,00040)−m can be used to calculate the number of minutes required to finish after m minutes of typing.

What is the domain for function R in this context?

Select one answer.

  1. A.
    m<0
  2. B.
    0≤m≤50
  3. C.
    m>50
  4. D.
    All real numbers
i2

Misunderstanding domaini1

Correcti3

Misunderstanding domaini4

Misunderstanding domain