Finding Domain & Range

Front

What is 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 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 find the domain of a quadratic function?

Back

To find the domain of a quadratic function, identify any restrictions on the x-values. For standard quadratic functions, the domain is usually all real numbers.

Front

How do you find the range of a quadratic function in vertex form?

Back

In vertex form, the range can be determined by the vertex's y-coordinate and the direction the parabola opens (upward or downward).

Front

What is the vertex of a quadratic function?

Back

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

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the corresponding y-values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the corresponding y-values decrease.

Front

What is the significance of the y-intercept in a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output value when x = 0.

Front

How do you determine the range of a linear function?

Back

The range of a linear function is all real numbers unless there are restrictions on the output values.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.