1.1-1.5 Domain and Range, Parent Function TransformationFlashcard

Front

What is the definition of domain in mathematics?

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 definition of range in mathematics?

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 express the domain of a function in interval notation?

Back

In interval notation, the domain is expressed as a range of values using brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints.

Front

What is the parent function of a linear function?

Back

The parent function of a linear function is f(x) = x, which represents a straight line through the origin.

Front

What is the parent function of a quadratic function?

Back

The parent function of a quadratic function is f(x) = x², which represents a parabola opening upwards.

Front

What is the parent function of an absolute value function?

Back

The parent function of an absolute value function is f(x) = |x|, which forms a V-shape on the graph.

Front

What is the parent function of a cubic function?

Back

The parent function of a cubic function is f(x) = x³, which represents an S-shaped curve.

Front

What is an asymptote in the context of functions?

Back

An asymptote is a line that a graph approaches but never touches or crosses, indicating the behavior of the function as it approaches certain values.

Front

Which types of functions typically have asymptotes?

Back

Rational, exponential, and logarithmic functions typically have asymptotes.

Front

How do you determine the domain of a rational function?

Back

The domain of a rational function is determined by identifying values that make the denominator zero, as these values are excluded from the domain.