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.
A linear function is of the form y = ax + b
Linear equations are a tiny subset of functions. Linear equations are simple, continuous functions.
They have infinite domains and are monotonic.
is the relationship linear or exponential
exponential
Of the three functions, all three pass the vertical line test. That is, if you draw a vertical line anywhere on the graph that the function is, that line will only pass through the function once. All three are also invertible functions, which means that there is a function that is capable of "undoing" the original function. And because the functions all pass the vertical line test, they are all able to be differentiated.
Piecewise, linear, exponential, quadratic, Onto, cubic, polynomial and absolute value.
They are all represented by straight lines.
Assuming you work with two variables (like x and y) only: if the graph is a vertical line, e.g. x = 5, then it is not a function. Otherwise it is.
Exponential Decay. hope this will help :)
All linear equations of the form y = mx + b, where m and b are real-valued constants, are functions. A linear equation of the form x = a, where a is a constant is not a function. Functions must be one-to-one. That means each x-value is paired with exactly one y-value.
distinguish between linear and non linear demands funcions
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.