EOC.5 Algebra 1 Full Unit 5 Milestone Review

Front

What is an increasing exponential function?

Back

An increasing exponential function is a function of the form y = ab^x where a > 0 and b > 1. It grows rapidly as x increases.

Front

What is the y-intercept of a function?

Back

The y-intercept of a function is the value of y when x = 0. It is the point where the graph of the function crosses the y-axis.

Front

Identify the common ratio in a geometric sequence.

Back

The common ratio is the factor by which each term in the sequence is multiplied to get the next term. It can be found by dividing any term by the previous term.

Front

What is an arithmetic sequence?

Back

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

Front

What does 'r' represent in the context of sequences?

Back

In the context of sequences, 'r' represents the common ratio in a geometric sequence.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is a transformation in mathematics?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

What does a horizontal translation of a function mean?

Back

A horizontal translation shifts the graph of a function left or right on the coordinate plane. For example, f(x - 1) shifts the graph right by 1 unit.

Front

How do you determine if a sequence is arithmetic or geometric?

Back

To determine if a sequence is arithmetic, check if the difference between consecutive terms is constant. For geometric, check if the ratio of consecutive terms is constant.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence can be found using the formula: a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference.