Types of Functions

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base (a positive real number), and x is the exponent. It shows rapid growth or decay.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0. Its graph is a parabola.

Front

Identify the general form of a linear function.

Back

The general form of a linear function is f(x) = mx + b.

Front

Identify the general form of a quadratic function.

Back

The general form of a quadratic function is f(x) = ax^2 + bx + c.

Front

Identify the general form of an exponential function.

Back

The general form of an exponential function is f(x) = a * b^x.

Front

What is the graph of a linear function like?

Back

The graph of a linear function is a straight line.

Front

What is the graph of a quadratic function like?

Back

The graph of a quadratic function is a parabola, which can open upwards or downwards.

Front

What is the graph of an exponential function like?

Back

The graph of an exponential function shows rapid growth (if b > 1) or decay (if 0 < b < 1) and is not a straight line.

Front

What is the slope in a linear function?

Back

The slope (m) in a linear function represents the rate of change of the function; it indicates how steep the line is.