Exponential and logarithmic functions are mathematical concepts with wide-ranging applications. Exponential functions are commonly used to model phenomena such as population growth, the spread of ...

Given \(f(x) = 3x + 2\), we are often asked to find \(f(2)\) or \(f( - 3)\). To do this we substitute \(2\) or \(- 3\) for \(x\). So, \(f(2) = 3(2) + 2 = 8\) and \(f ...

Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them. Graphs of exponential ...

If you're feeling confident, try this more difficult example. Don't be worried if it looks hard, the process you go through is just the same as before. Replace \(x\) with the function and then ...

Abstract: As a significant part of system modeling and control, parameter identification of continuous and discrete-time systems has been extensively studied in the past decades. However, most ...