Domain, Range, Increasing, Decreasing

Front

What is the definition of the domain of 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 the range of a function?

Back

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

Front

How do you determine the domain of a quadratic function?

Back

Front

How do you determine the range of a quadratic function that opens upwards?

Back

Front

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

Back

A function is increasing on an interval if, as x increases, the function's output (y-value) also increases.

Front

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

Back

A function is decreasing on an interval if, as x increases, the function's output (y-value) decreases.

Front

How can you identify increasing and decreasing intervals from a graph?

Back

Increasing intervals are where the graph rises from left to right, while decreasing intervals are where the graph falls from left to right.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

What is the significance of the vertex in determining the range of a quadratic function?

Back

The vertex's y-coordinate indicates the minimum (if opening upwards) or maximum (if opening downwards) value, which helps define the range.

Front

What is the standard form of a quadratic function?

Back