Algebra 1 - Unit 1A Flashcard Review

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function f(x) at a specific point x = a, substitute a into the function: f(a).

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the difference between consecutive terms in an arithmetic sequence. It is constant throughout the sequence.

Front

How do you identify the first four terms of a recursive sequence?

Back

To find the first four terms of a recursive sequence, start with the initial term and apply the recursive formula repeatedly.

Front

What is the explicit formula for an arithmetic sequence?

Back

The explicit formula for an arithmetic sequence is a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What does the domain of a function represent?

Back

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

Front

How do you determine the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce based on its domain.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What is a sequence in mathematics?

Back

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

Front

How do you find the nth term of a sequence?

Back

To find the nth term of a sequence, use the explicit formula or the recursive definition provided for that sequence.