Alg 2 Flashcard #5 - Domain & Range, H & K (1)

Front

What is the definition of 'domain' in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (x) for which the function is defined.

Front

What is the definition of 'range' in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (y) that result from using the function.

Front

What does the notation {x | x ≥ -5} represent?

Back

This notation represents the set of all x values that are greater than or equal to -5.

Front

How do you express the range of a function graphically?

Back

The range can be expressed as an interval on the y-axis, indicating the lowest and highest values that y can take.

Front

What is the transformation of the function f(x) = x^2 when it is shifted two units to the right?

Back

The transformed function is y = (x - 2)^2.

Front

What is the interval notation for the range [-3, 1)?

Back

This notation indicates that the range includes -3 and goes up to, but does not include, 1.

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include their endpoints, while closed intervals do include their endpoints.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2, which can be expressed as (-∞, 2) ∪ (2, ∞).

Front

How do you find the range of a quadratic function?

Back

For a quadratic function in the form f(x) = ax^2 + bx + c, the range can be found by determining the vertex and the direction of the parabola.

Front

What is the domain of the function f(x) = √(x-1)?

Back

The domain is x ≥ 1, which can be expressed in interval notation as [1, ∞).