Linear and exponential functions are both types of mathematical functions that describe relationships between variables. Both types of functions can be represented by equations, with linear functions having a constant rate of change and exponential functions having a constant ratio of change. Additionally, both types of functions can be graphed on a coordinate plane to visually represent the relationship between the variables.
Chat with our AI personalities
neither linear nor exponential functions have stationary points, meaning their gradients are either always +ve or -ve
They are quite unrelated. One thing they have in common is that both are monotonic.
Either their gradient is always zero (they are horizontal) or they are strictly monotonic: either keep on increasing or keep on decreasing.
Linear equations are a tiny subset of functions. Linear equations are simple, continuous functions.
They have infinite domains and are monotonic.
Exponential Decay. hope this will help :)
A linear equation, when plotted, must be a straight line. Such a restriction does not apply to a line graph.y = ax2 + bx +c, where a is non-zero gives a line graph in the shape of a parabola. It is a quadratic graph, not linear. Similarly, there are line graphs for other polynomials, power or exponential functions, logarithmic or trigonometric functions, or any combination of them.
It is not possible to answer the question since a non linear sequence could be geometric, exponential, trigonometric etc.