options: Build a function that models a relationship between two quantities.

Analyze functions using different representations.

Extend the domain of trigonometric functions using the unit circle.

Interpret functions that arise in applications in terms of the context.

Prove and apply trigonometric identities.

Use functions to model relationships between quantities.

Build new functions from existing functions.

Model periodic phenomena with trigonometric functions.

Interpret expressions for functions in terms of the situation they model.

Construct and compare linear and exponential models and solve problems.

Define, evaluate, and compare functions.

Understand the concept of a function and use function notation.
problem_activity: Problem 1
The formula for an explicit rule for an arithmetic sequence is given by
$${a_n=a_1+d(n-1)}$$
, where
$$d$$
is the common difference and
$$n$$
is the term number.
Write an explicit rule for the number of tiles in each pattern shown below.
a.
[IMG]
b.
[IMG]
c.
[IMG]
Problem 2
An arithmetic sequence is shown below.
$${29,\space 22,\space15,\space8,\space1,\space…}$$
Write a recursive formula to represent the sequence.
Write an explicit formula to represent the sequence.
Find the 10th term in the sequence.
Find the 100th term in the sequence.
Problem 3
An arithmetic sequence is described by either a recursive or explicit rule below. If given a recursive rule, provide the explicit rule. If given the explicit rule, give the recursive rule.
a.
$${f(n)=6(n-1)+1}$$
, for
$${n\geq1}$$
b.
$${a_{n+1}=a_n-{3\over2}}$$
,
$${a_1=10}$$


correct_option_index: 0

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