Graphs of exponential functions: examining the distinctive curve of exponential growth and decay Graphs of logarithmic functions: analysing how logarithmic functions represent the inverse of ...

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 ...

Straight-line graphs of logarithmic and exponential functions Watch this video to learn about straight line graphs of logarithmic and exponential functions.

This paper presents two new approximations for the logarithmic and exponential functions. These approximations require only a square rooter function, a scalar function and a constant. Thus, the ...

Identifying and sketching related functions Inverse of a logarithmic or exponential function The rules from graph translations are used to sketch the derived, inverse or other related functions.

We present the soft exponential activation function for artificial neural networks that continuously interpolates between logarithmic, linear, and exponential functions. This activation function is ...

Based on these conjectures we describe a variety of multiplicative units, then propose three ways of understanding rate of change in relation to exponential functions. Finally we argue that rate is ...