M II 5.1.2 Domain Range Parabolas - set notation

Front

What is the domain of a parabola?

Back

The domain of a parabola is the set of all possible x-values (inputs) for which the function is defined.

Front

How do you express the domain of a parabola in set notation?

Back

The domain can be expressed in set notation as {x | a ≤ x ≤ b}, where a and b are the minimum and maximum x-values.

Front

What is the range of a parabola?

Back

The range of a parabola is the set of all possible y-values (outputs) that the function can produce.

Front

How do you express the range of a parabola in set notation?

Back

The range can be expressed in set notation as {y | c ≤ y ≤ d}, where c and d are the minimum and maximum y-values.

Front

What does it mean if the domain is 'All real numbers'?

Back

It means that the parabola extends infinitely in both the left and right directions, allowing any real number as an input.

Front

What is a relative domain in a real-world context?

Back

The relative domain refers to the practical limits of the input values based on the context of the problem, such as time or distance.

Front

What is the significance of the vertex in a parabola?

Back

The vertex is the highest or lowest point of the parabola, which helps determine the range.

Front

How do you find the vertex of a parabola given its equation?

Back

For a parabola in the form y = ax^2 + bx + c, the vertex can be found using the formula x = -b/(2a).

Front

What is the difference between open and closed intervals in set notation?

Back

Open intervals (a, b) do not include endpoints, while closed intervals [a, b] include endpoints.

Front

What does the notation 'y ≥ 0' indicate about the range?

Back

It indicates that the output values (y-values) of the parabola are greater than or equal to zero.