Function Range and Domain Flashcard

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 determine the domain of a quadratic function?

Back

The domain of a quadratic function is typically all real numbers unless specified otherwise by restrictions.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

What does it mean if a function has a range of n(x) ≥ -8?

Back

It means that the output values of the function are greater than or equal to -8.

Front

How can you find the maximum or minimum value of a quadratic function?

Back

Front

What is the significance of the coefficients in a quadratic function?

Back

The coefficient 'a' determines the direction of the parabola (upward or downward), while 'b' and 'c' affect the position and shape.

Front

What is the effect of a negative leading coefficient in a quadratic function?

Back

A negative leading coefficient results in a parabola that opens downward.

Front

What is the difference between open and closed intervals in domain and range?

Back

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

Front

How do you express the domain of a function graphically?

Back

The domain can be expressed graphically by identifying the x-values covered by the graph.