Quadratic Domain and Range

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, represented as (-∞, ∞).

Tags

TEKS.MATH.2A.2A

TEKS.MATH.2A.6K

TEKS.MATH.2A.7I

TEKS.MATH.A.2A

TEKS.MATH.A.9A

Front

What is the range of a quadratic function that opens upwards?

Back

The range is all real numbers greater than or equal to the minimum value of the function, represented as [k, ∞) where k is the minimum value.

Tags

TEKS.MATH.2A.2A

TEKS.MATH.2A.6K

TEKS.MATH.2A.7I

TEKS.MATH.A.6A

TEKS.MATH.A.9A

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

Tags

TEKS.MATH.A.7A

Front

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

Back

Tags

TEKS.MATH.A.7A

Front

What does it mean for a quadratic function to have a range of all real numbers greater than or equal to a certain value?

Back

It means that the function's output (y-values) starts from that value and goes to infinity.

Tags

TEKS.MATH.A.7A

Front

Back

The 'a' value determines the direction of the parabola: if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

Tags

TEKS.MATH.A.7C

Front

What is the significance of the discriminant in a quadratic equation?

Back

Tags

TEKS.MATH.A.8A

Front

What is the standard form of a quadratic function?

Back

Tags

TEKS.MATH.2A.6B

TEKS.MATH.2A.6C

Front

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

Back

The range can be determined by identifying the vertex and the direction the parabola opens.

Tags

TEKS.MATH.A.7A

Front

What is the axis of symmetry in a quadratic function?

Back

Tags

TEKS.MATH.A.7A