*3.5 PRACTICE Domain and Range from Graphs

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 can you determine the domain of a function from its graph?

Back

The domain can be determined by identifying the x-values for which the graph has points. It includes all x-values that the graph covers.

Front

How can you determine the range of a function from its graph?

Back

The range can be determined by identifying the y-values that the graph reaches. It includes all y-values that the graph covers.

Front

What does it mean for a function to have a domain of all real numbers less than a certain value?

Back

It means that the function is defined for all x-values that are less than that specific value, and does not include that value itself.

Front

What is the significance of a quadratic function's vertex in relation to its range?

Back

The vertex of a quadratic function represents the maximum or minimum point of the graph, which helps determine the range of the function.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is y = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find the maximum or minimum value of a quadratic function?

Back

You can find the maximum or minimum value by using the vertex formula, x = -b/(2a), and substituting this x-value back into the function.

Front

What is the relationship between the domain and range of a function?

Back

The domain and range are related in that the domain consists of the input values that produce the output values in the range.

Front

What does it mean for a function to be defined for all real numbers?

Back

It means that the function can accept any real number as an input without any restrictions.