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 the x-values for which the function is defined. For most quadratic functions, the domain is all real numbers.

Front

How do you find the range of a quadratic function?

Back

The range of a quadratic function can be found by determining the vertex of the parabola. If the parabola opens upwards, the range is from the y-coordinate of the vertex to infinity. If it opens downwards, the range is from negative infinity to the y-coordinate of the vertex.

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 constant?

Back

A constant function has the same output value for every input value. Its graph is a horizontal line.

Front

What is the domain and range of f(x) = 15?

Back

Domain: All real numbers; Range: {15}.

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, look at the lowest and highest points on the y-axis that the graph reaches.

Front

What is the significance of the y-coordinate in a function's range?

Back

The y-coordinate in a function's range represents the output values that the function can take.

Front

What is a real-world example of finding domain and range?

Back

In a scenario where a function models the height of a ball thrown in the air, the domain could be the time the ball is in the air, and the range would be the height of the ball at different times.