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 …

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.

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 …

Now you know how to find the formula of an exponential function from two points. You also know how to choose two points from a table or graph, and how to use a shortcut formula to find the …

When 0<b<1, the exponential function will decrease. When b>1, the exponential function will increase. In general, y=ab^ {-x} is the same as y=a (\cfrac {1} {b})^x. Note that \textbf {b} will …

Mar 2, 2025 · Determine whether the two exponents have the same base. The base is the big number in an exponential expression. [1] . You can only use this method when you are …

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.

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?

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 …

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...