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This page shows questions in the Alg II Interpreting Functions public release module at MSDE. Algebra 2
"Alg II Interpreting Functions"

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This is a question with 4 parts, including a multiple choice question that allows you to select several options, and, a multiple choice question that allows you to select only one option.

Part A

A company owns some shares of MStock. The accountant for the company models the stock's price per share, in dollars, as its value changes over several weeks. A graph of the model is shown.

Graph titled M Stock. The x axis is labeled time, in weeks, and ranges from 0 to 14 in increments of 2. The y axis is labeled price per share, in dollars, and ranges from 0 to 70 in increments of 10. Point P is plotted at 0, 40, and the graph goes down to point Q at 3, 20. Then the graph goes up to point R at 8, 35; down to point S at a little more than 11, midway between 25 and 30. Finally the graph goes up to point T at a little less than 14, 60.

Which statements are true about the value of the stock?

Select all that apply.

Part B

Which point shows the approximate lowest value of MStock?

  1. A.
  2. B.
  3. C.
  4. D.

Part C

The company also owns shares in NStock. The accountant for the company models the stock's price per share for NStock. The graphs of the models for NStock and MStock are shown.

Graph modeling the prices of shares of two stock. The x axis is labeled time, in weeks, and the y axis is labeled price per share, in dollars. MStrock starts at 0, 40, goes down to 3, 26, back up to 8, 33, back down to a point at a little less than 12, 28, and finally back up to 13, 40. NStock starts at 0, a little more than 20, remains flat until 10, 20, then goes up to the point intersecting the MStock line at a little less than 12, 28, and continues upward to 13, 40.

After approximately what week is the value of NStock greater than the value of MStock?

Part D

In which week did both stocks reach their lowest values?

This is test content.

The functions h of d, g of y, and f of m each represent the balance of a savings account that is opened with an initial balance of a dollars, with no additional deposits of withdrawals.

  • f of m equals a open parentheses one point zero zero zero eight raised to the power of m close parentheses where m is the number of months since the account was opened
  • g of y equals a open parentheses one point zero one raised to the power of y close parentheses where y is the number of years since the account was opened
  • h of d equals a open parentheses one point zero zero zero zero five raised to the power of d close parentheses where d is the number of days since the account was opened

If the time period is the same for all three accounts, order the functions from greatest to least growth rate.

Drag and drop the functions into the correct order.