Algebra 1 Unit 3: Relations & Functions

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, typically defined as a relationship between two sets of values.

Tags

CCSS.8.F.A.1

Front

What is a function?

Back

A function is a special type of relation where each input (x-value) is associated with exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

Define domain in the context of functions.

Back

The domain of a function is the complete set of possible values of the independent variable (x-values) for which the function is defined.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Define range in the context of functions.

Back

The range of a function is the complete set of possible values of the dependent variable (y-values) that result from the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the difference between domain and range?

Back

Domain refers to the set of all possible input values (x-values), while range refers to the set of all possible output values (y-values) of a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you find the domain of a function given a graph?

Back

The domain can be found by identifying all the x-values that the graph covers.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How do you find the range of a function given a graph?

Back

The range can be found by identifying all the y-values that the graph covers.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements, meaning each output is unique.

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which the function's output (y-value) is zero.

Tags

CCSS.HSF-IF.C.7D

Front

How can you determine the zeros of a function from its graph?

Back

The zeros of a function can be determined by identifying the x-intercepts of the graph, where the graph crosses the x-axis.

Tags

CCSS.HSF-IF.C.7C