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.

Tags

CCSS.HSA-REI.B.4B

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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.

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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).