Key Features of a Function

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What is the definition of domain in a function?

Back

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

Front

What is the definition of range in a function?

Back

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

Front

What does it mean for a graph to be a function?

Back

A graph represents a function if every vertical line intersects the graph at most once (Vertical Line Test).

Front

What is the maximum point of a function?

Back

The maximum point of a function is the highest point on the graph, where the function value is greater than or equal to all other values in its vicinity.

Front

What is the minimum point of a function?

Back

The minimum point of a function is the lowest point on the graph, where the function value is less than or equal to all other values in its vicinity.

Front

What is end behavior in a function?

Back

End behavior describes how the values of a function behave as the input approaches positive or negative infinity.

Front

How do you express the interval -8 ≤ x < 8 in interval notation?

Back

The interval is expressed as [-8, 8).

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output value is associated with exactly one input value, meaning no two different inputs produce the same output.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a ≠ 0.