Function Family Practice

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax^2 + bx + c, where a, b, and c are constants.

Front

What is a cubic function?

Back

A cubic function is a polynomial function of degree 3, typically in the form y = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants.

Front

What is a square root function?

Back

A square root function is a function that involves the square root of a variable, typically in the form y = √x.

Front

What is an exponential function?

Back

An exponential function is a function in which an independent variable appears in the exponent, typically in the form y = a * b^x, where a is a constant and b is the base.

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the ratio of two polynomials, typically in the form y = P(x)/Q(x), where P and Q are polynomials.

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different intervals of the domain.