Function Review (3.1 - 3.3)

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

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 if a relation is a function?

Back

A relation is a function if each input value corresponds to exactly one output value. This can be checked using the vertical line test.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, which means it has the form f(x) = mx + b, where m and b are constants.

Front

What does it mean for a function to be nonlinear?

Back

A function is nonlinear if it cannot be represented by a straight line on a graph, meaning it may have curves or bends.

Front

What is the notation for a function?

Back

The notation for a function is typically f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's equation and simplify.

Front

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

Back

In a quadratic function of the form f(x) = ax^2 + bx + c, the coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.