WebJan 9, 2016 · y=4(1/2)^x An exponential function is in the general form y=a(b)^x We know the points (-1,8) and (1,2), so the following are true: 8=a(b^-1)=a/b 2=a(b^1)=ab Multiply both sides of the first equation by b to find that 8b=a Plug this into the second equation and solve for b: 2=(8b)b 2=8b^2 b^2=1/4 b=+-1/2 Two equations seem to be possible here. … WebExponents are notations that indicate a base number is raised to a power or multiplied by itself a given number of times. In writing or word processing programs that allow it, exponents are written as superscript (above the base number). In a plain text editor (like this one), exponents are noted using the *^* symbol.

Ensure exponential function passes through two specific points

WebExponential Function Standard Form: y = a(b)x−c+k y = a ( b) x − c + k. where a a represents vertical stretch or compression, b b is the base value, c c is the horizontal translation factor ... WebMay 25, 2024 · Find an exponential function that passes through the points ( − 2, 6) and (2, 1). Solution. Because we don’t have the initial value, we substitute both points into an equation of the form f(x) = abx, and then solve the system for a and b. Substituting ( − 2, 6) gives 6 = ab − 2. Substituting (2, 1) gives 1 = ab2. citysuper royce

6.2 Graphs of Exponential Functions - OpenStax

WebThe first function is exponential. We will start with an input of 0, and increase each input by 1. We will double the corresponding consecutive outputs. The second function is linear. … WebJan 8, 2016 · y=4(1/2)^x An exponential function is in the general form y=a(b)^x We know the points (-1,8) and (1,2), so the following are true: 8=a(b^-1)=a/b 2=a(b^1)=ab Multiply … WebJun 26, 2012 · This video explains how to determine the equation of an exponential function in the form y=ab^x given two points on the function. The y-intercept or initial... city supermarkt berlin