Linear, Quadratic, Exponential Growth, or Exponential Decay?

An Exponential Decay function is a mathematical function of the form $$y = a \times b^x$$ where 0 < b < 1. It describes a process where a quantity decreases at a rate proportional to its current value.

An Exponential Growth function is a mathematical function of the form $$y = a \times b^x$$ where b > 1. It describes a process where a quantity increases at a rate proportional to its current value.

A Linear function is a polynomial function of degree one, represented by the equation $$y = mx + b$$ , where m is the slope and b is the y-intercept.

A Quadratic function is a polynomial function of degree two, represented by the equation $$y = ax^2 + bx + c$$ , where a, b, and c are constants and a ≠ 0.

Exponential Decay

Quadratic

Linear

The general form of a Quadratic equation is $$y = ax^2 + bx + c$$ .

The graph of a Linear function is a straight line.

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