IM1: Unit 2 Review (Final)

Front

Is the following relation a function?

Back

No, a relation is not a function if there are multiple outputs for a single input.

Front

Identify the domain of the following relation: {(-6,14), (0,32), (2,38), (4,44)}

Back

The domain is {-6, 0, 2, 4}, which consists of the first elements of each ordered pair.

Front

Write the explicit rule for the following sequence: -3, -6, -9, ...

Back

f(n) = -3 - 3(n-1), which describes the pattern of decreasing by 3.

Front

What is the recursive rule for the sequence given by the points?

Back

f(n) = f(n-1) + 8, indicating that each term is 8 more than the previous term.

Front

To package and ship an item, it costs $5.75 for the first pound and $0.75 for each additional pound. How much would it cost to package and ship an item that weighs 32 pounds?

Back

$29.00, calculated as $5.75 + (31 * $0.75).

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

Define domain in the context of a function.

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is a sequence in mathematics?

Back

A sequence is an ordered list of numbers that follow a specific pattern.

Front

Explain the difference between explicit and recursive rules for sequences.

Back

An explicit rule defines the nth term directly, while a recursive rule defines each term based on the previous term.

Front

What does it mean for a sequence to be arithmetic?

Back

An arithmetic sequence is one in which the difference between consecutive terms is constant.