Lesson 3 The Name Game Practice Understanding

Ready

Use rules of exponents to rewrite each of the expressions with only one exponent.

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Find the missing values in each of the geometric sequences. Then write the explicit equation that describes each function.

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Set

Based on each of the given representations of a function, determine the following.

  1. Is it linear, exponential or neither? (If neither, do not do parts b-d.)

  2. If the function is linear or exponential, state whether it is discrete or continuous.

  3. Identify the rate of change as a slope (common difference) or a growth factor (common ratio).

  4. Write the explicit equation.

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The population of a town, , is and is growing by per year.

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Joan earns a starting salary of per year and will receive a raise of per year for the first .

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The number of gifts received each day of “The of Christmas” is a function of the day. (“On the fourth day of Christmas, my true love gave to me: , , , and .”)

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A graph of a solid curve passing through the points (0,1), (1,3), and (2,9). As the values of x get smaller, the values of y get very close to 0. x–5–5–5555y555000

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Side of a Square

Area of a Square

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How many solutions are there for the explicit linear equation, ? What do solutions for equations like this look like?

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What is the proper way to represent all solutions for a given explicit equation?

Go

For each geometric sequence below, find the missing terms in the sequence. Then write an explicit rule for the sequence.

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Explicit equation:

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Explicit equation:

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Explicit equation:

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Explicit equation:

Find the rate of change (slope) in each of the problems.

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A graph of a line passing through (-2, 0) and (2, 1) x–4–4–4–2–2–2222444y–4–4–4–2–2–2222444000

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