As math teachers, we know that identifying the type of function from a table is a fundamental skill necessary for success in algebra and beyond. However, students often struggle with this concept, ...

When it comes to learning mathematics, one of the most important areas is functions. Functions are used to describe relationships between different quantities, such as time and distance, or ...

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 ...

Data from an experiment may result in a graph indicating exponential growth. This implies the formula of this growth is \(y = k{x^n}\), where \(k\) and \(n\) are constants. Using logarithms, we can ...

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 ...

where a ¹ 0 and b is a constant called the base of the exponential function. b > 0 and b ¹ 1 x is the independent variable. It is the exponent of the constant, b. Thus exponential functions have a ...