Exponential functions can grow or decay very quickly. Exponential functions are often used to model things in the real world, such as populations, radioactive materials, and compound interest.

This topic covers: - Radicals & rational exponents - Graphs & end behavior of exponential functions - Manipulating exponential expressions using exponent properties - Exponential growth & decay - …

Practice Graphing exponential growth & decay Get 3 of 4 questions to level up! Practice Not started

What does it mean for something to change exponentially? Let's learn about a new family of functions, and use these exponential functions to analyze real-world scenarios.

What are exponential graphs? In an exponential function, the output of the function is based on an expression in which the input is in the exponent. For example, f (x) = 2 x + 1 is an exponential …

Bacteria grown in the lab provide an excellent example of exponential growth. In exponential growth, the population’s growth rate increases over time, in proportion to the size of the population.

What is an exponential model? An exponential model is a type of function that shows how a quantity grows exponentially over time. We often use exponential models to represent things like population …

Linear growth is constant. Exponential growth is proportional to the current value that is growing, so the larger the value is, the faster it grows. Logarithmic growth is the opposite of exponential growth, it …

One common use for exponential models is calculating compounding interest. When you leave money in a bank, the bank may give you interest, which is additional money based on the amount you already …

Linear and exponential growth problems are all about understanding and comparing scenarios like the ones above. Show me how they compare!