Function Families

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 and a ≠ 0.

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 the base (a positive real number), and x is the exponent.

Front

What is a cube root function?

Back

A cube root function is a function of the form y = ∛x, which gives the number that, when multiplied by itself three times, equals x.

Front

What is a square root function?

Back

A square root function is a function of the form y = √x, which gives the number that, when multiplied by itself, equals x.

Front

What is a linear absolute value function?

Back

A linear absolute value function is a function that includes an absolute value expression, typically in the form y = |mx + b|, where m is the slope and b is the y-intercept.

Front

What is a piecewise function?

Back

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

Front

How can you identify a linear function from its graph?

Back

A linear function will graph as a straight line, and it will have a constant rate of change (slope).

Front

How can you identify a quadratic function from its graph?

Back

A quadratic function will graph as a parabola, which opens either upwards or downwards.

Front

How can you identify an exponential function from its graph?

Back

An exponential function will graph as a curve that increases or decreases rapidly, showing a constant percentage rate of change.