Algebra 1 Team Decathlon -- Event #3

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 function given a set of values?

Back

The domain is the set of all x-values that are included in the function's definition.

Front

What are real roots of a quadratic equation?

Back

Real roots are the values of x that make the quadratic equation equal to zero, and they can be found using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

Front

What does it mean for a quadratic equation to have real roots?

Back

A quadratic equation has real roots if the discriminant (b^2 - 4ac) is greater than or equal to zero.

Front

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

Back

The range can be determined by identifying the lowest and highest y-values that the graph reaches.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, typically representing a relationship between two sets of values.

Front

How do you find the range of a relation given a set of ordered pairs?

Back

The range is the set of all second elements (y-values) from the ordered pairs.

Front

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

Back

The vertex is the highest or lowest point on the graph of a quadratic function, depending on its orientation (opening up or down).