IM1: Unit 2 Review (Final)

Front

Find f(12078) using the following explicit rule: f(n) = 2 - 5(n-1)

Back

f(12078) = 2 - 5(12078-1) = 2 - 5(12077) = 2 - 60385 = -60388

Tags

CCSS.HSF.IF.A.2

Front

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

Back

f(n) = -3 - 3(n-1) (This is an arithmetic sequence with a common difference of -3.)

Tags

CCSS.HSF.BF.A.2

Front

Write the explicit rule for the following sequence: 8, 10, 12, 14, ...

Back

f(n) = 8 + 2(n-1) (This is an arithmetic sequence with a common difference of 2.)

Tags

CCSS.HSF.BF.A.2

Front

Is the relation {(5, 4), (1, 4), (3, -2), (1, 8)} a function?

Back

No, because the input 1 is associated with two different outputs (4 and 8).

Tags

CCSS.8.F.A.1

Front

What is the range of the relation {(2, 4), (1, 4), (5, 4), (3, 2), (4, 4)}?

Back

The range is {2, 4} (These are the unique output values from the relation.)

Front

Define an explicit rule in mathematics.

Back

An explicit rule is a formula that defines the nth term of a sequence directly in terms of n.

Tags

CCSS.HSF.BF.A.2

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Tags

CCSS.HSF.BF.A.2

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x-value) is associated with exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount that each term increases or decreases by in an arithmetic sequence.

Tags

CCSS.HSF.BF.A.2

Front

Write the explicit rule for the sequence: 1, 4, 7, 10, ...

Back

f(n) = 1 + 3(n-1) (This is an arithmetic sequence with a common difference of 3.)

Tags

CCSS.HSF.BF.A.2