Algebra 1 Unit 5 Test Flashcards

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Questions and Answers

What is an arithmetic sequence?

A sequence with random values

A sequence formed by multiplying each term by a fixed number

A sequence that contains only prime numbers

A sequence formed by adding a fixed number to each previous term (correct)

What is the common difference in an arithmetic sequence?

The difference between consecutive terms

Which of the following describes a continuous graph?

A graph that is unbroken (correct)

A graph composed of isolated points

A graph that includes only integers

None of the above

What is a dependent variable?

A variable that provides the output values of a function Signup and view all the answers

What characterizes a discrete graph?

It is composed of isolated points Signup and view all the answers

What is the domain in mathematics?

The possible values for the input of a relation or function Signup and view all the answers

Define a function.

A relation that assigns exactly one value in the range to each value in the domain Signup and view all the answers

What is function notation?

How to write a rule in function notation using the symbol f(x) in place of Y Signup and view all the answers

What is an independent variable?

A variable that provides the input values of a function Signup and view all the answers

What does input refer to in a function?

A value of the independent variable Signup and view all the answers

What is a linear function?

A function whose graph is a line Signup and view all the answers

Define a nonlinear function.

A function whose graph is not a line or part of a line Signup and view all the answers

What does output refer to in a function?

Value of the dependent variable Signup and view all the answers

What is the range in mathematics?

The set of all output values for a relation Signup and view all the answers

Define a relation.

Any set of ordered pairs Signup and view all the answers

What is a sequence?

An ordered list of numbers that often forms a pattern Signup and view all the answers

What is a term of a sequence?

Any number in a sequence Signup and view all the answers

What is the vertical line test used for?

To determine whether a relation is a function or not Signup and view all the answers

Study Notes

Key Concepts in Algebra

Arithmetic Sequence: A sequence formed by adding a constant value (common difference) to each previous term to generate the next term.
Common Difference: The fixed difference between consecutive terms in an arithmetic sequence, essential for determining the next term in the sequence.
Continuous Graph: A type of graph that remains unbroken, representing smooth transitions between points.
Dependent Variable: Represents the output values in a function; its value is dependent on the input provided by the independent variable.
Discrete Graph: Composed of isolated points, contrasting with continuous graphs; often represents data that are not connected.
Domain: The complete set of possible input values (independent variable values) for a relation or function, crucial for understanding restrictions on inputs.
Function: Defines a relation that assigns exactly one output (dependent variable) for each input (independent variable), ensuring a unique mapping.
Function Notation: Standard way to express functions, typically in the format f(x) instead of using Y; simplifies communication of functions.
Independent Variable: The input variable of a function that determines the output value; its changes directly affect the dependent variable.
Input: Refers to the specific value of the independent variable fed into a function to produce an output.
Linear Function: A particular type of function whose graph yields a straight line; characterized by a constant rate of change.
Nonlinear Function: A function whose graph is not a straight line, displaying varying rates of change; often includes quadratics, exponentials, etc.
Output: The value produced by the function for a given input; corresponds to the dependent variable.
Range: Represents the set of all possible output values for a relation, providing insights into the function's behavior.
Relation: Refers to any collection of ordered pairs; can represent various relationships between quantities.
Sequence: An ordered list of numbers often following a specific pattern, integral for understanding progression in mathematics.
Term of Sequence: Any individual number within a sequence, contributing to the overall pattern.
Vertical Line Test: A technique utilized to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, the relation is not a function.

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Description

Test your knowledge with these flashcards covering key concepts from Algebra 1 Unit 5. Topics include arithmetic sequences, common differences, continuous graphs, and dependent variables. Great for reviewing before your test!