A1- 3.1-3.2 Functions Characteristics Review

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

How can you determine if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no two pairs have the same first element (x-value).

Front

What are x-intercepts of a graph?

Back

X-intercepts are the points where the graph crosses the x-axis, meaning the output (y) is zero.

Front

How do you find the x-intercepts of a function?

Back

To find the x-intercepts, set the function equal to zero and solve for x.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What does it mean for a function to be defined on an interval?

Back

A function is defined on an interval if it has valid outputs for all input values within that interval.

Front

How can you express the domain of a function using inequalities?

Back

The domain can be expressed using inequalities to indicate the range of x-values that are valid for the function.

Front

What is the significance of the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is an ordered pair in the context of functions?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph, where x is the input and y is the output.