Sometimes we are given information about an exponential function without knowing the function explicitly. We must use the information to first write the form of the function, then determine the …

Mar 13, 2018 · Since we know that b 0 = 1, the first equation becomes 2 = a. Substituting a in the second equation yields 4 = 2b 2, which we simplify to b 2 = 2, or b = square root of 2, which …

There are two methods to find the base 𝑏 b in an exponential function depending on the information you have. Watch this video to discover both.

Here you will learn about the exponential function, how to graph exponential functions, and how to find exponential equations. Students will first learn about exponential functions as part of …

Oct 3, 2025 · To find ‘b’ in an exponential function, you typically need a known point (x, y) on the function. Then, substitute these values into the exponential function’s general form, y = a * b^x.

In an exponential graph, the "rate of change" increases (or decreases) across the graph. The graphs of functions of the form y = bx have certain characteristics in common. Exponential …

Sometimes we are given information about an exponential function without having an explicit formula for the function. We must use the information to first write the form of the function, …

When the graph of an exponential function is given, we can use the information to find the function itself. Let's learn the tricks in this lesson. What Are Exponential Functions?

Step 1: Determine the horizontal asymptote of the graph. This determines the vertical translation from the simplest exponential function, giving us the value of k. Step 2: Determine horizontal...

Jul 23, 2025 · Key features of exponential functions include: If b > 1, the function exhibits exponential growth; it increases rapidly as x increases. If 0 < b < 1, the function shows …