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.

Once we have these three pieces of information, we can write the exponential function in the form y = a (b) x , where a is the initial value and b is the growth or decay factor.

An exponential function represents the relationship between an input and output, where we use repeated multiplication on an initial value to get the output for any given input. Exponential …

We can mathematically model logistic growth by modifying our equation for exponential growth, using an r (per capita growth rate) that depends on population size (N ) and how close it is to …

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 grows slower …

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

Write the formula for g (t). Well, the fact that it's an exponential function, we know that its formula is going to be of the form g (t) is equal to our initial value which we could call A, times our …

We can graph an exponential function, like y=5ˣ, by picking a few inputs (x-values) and finding their corresponding outputs (y-values). We'll see that an exponential function has a horizontal …

In this unit, we learn how to construct, analyze, graph, and interpret basic exponential functions of the form f (x)=a⋅bˣ.

Patterns of growth Learn Intro to exponential functions Exponential vs. linear growth Warmup: exponential vs. linear growth Exponential vs. linear models: verbal Exponential vs. linear …