Classifying Families of Functions

Front

What is a Linear Function?

Back

A linear function is a function that graphs to a straight line. It can be expressed 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 an Exponential Function?

Back

An exponential function is a mathematical function of the form y = ab^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is an Absolute Value Function?

Back

An absolute value function is a function that returns the non-negative value of a number, expressed as y = |x|.

Front

What is a Square Root Function?

Back

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

Front

What is a Reciprocal Function?

Back

A reciprocal function is a function of the form y = 1/x, where x is not equal to zero.

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.

Front

How do you identify a Linear Function from a graph?

Back

A linear function will graph as a straight line, and it has a constant rate of change.

Front

How do you identify a Quadratic Function from a graph?

Back

A quadratic function will graph as a parabola, which can open upwards or downwards.

Front

How do you identify an Exponential Function from a graph?

Back

An exponential function will show rapid growth or decay, and its graph will be curved, not straight.