WebStep 1/2. The exponential function is defined as: y = a ( b) x. As the graph passes through ( − 1, 2), therefore, substitute y = 2 and x = − 1 into the equation: 2 = a ( b) − 1. By using the same procedure, as the graph passes through ( 2, 16), it follows: 16 = a ( b) 2. Solve the system of equations for a and b: Solve for a in 2 = a b − 1. WebSep 19, 2024 · Let us write an exponential equation in the form y = A · B x, where B > 0 Since its graph passes through the point ( -1 , 2 ), we can substitute x = -1 and y = 2 and …

Writing exponential functions from tables - Khan Academy

WebSep 19, 2024 · Let us write an exponential equation in the form y = A · B x, where B > 0 Since its graph passes through the point ( -1 , 2 ), we can substitute x = -1 and y = 2 and obtain 2 = A · B -1 = A / B Similarly, since its graph passes through the point ( 1 , 8 ), we can substitute x = 1 and y = 8 and obtain 8 = A · B 1 = A · B WebThe most basic exponential function is y=2^x. Looking at some of the key features, you have no x intercept, a y intercept at 1 (when x=0, 2^0=1) (0,1), then additional points of (1,2) (2,4) (3,8) (4,16) (-1,1/2) (-2,-1/4) etc. The … sprache singapore

Find the Exponential Function (2,25) Mathway

WebFor the 2 sides of your equation to be equal, the exponents must be equal. So, you can change the equation into: -2b = -b Then, solve for "b" Sal does something very similar at about 3:45 in the video. Hope this helps. 2 comments ( 15 votes) Upvote Downvote Flag more Sky7ure 6 years ago WebCalculus: Integral with adjustable bounds. example. Calculus: Fundamental Theorem of Calculus WebMar 6, 2024 · 1 Answer. Sorted by: 1. You probably need to fit your table to an exponential function that has a negative coefficient for the variable of the exponent, i.e. y = A exp (-bx) You can use the LINEST () function in excel to do that if you linearize the equation: lny = lnA + bx. A scatterplot with a linear trendline will also give you the coefficient. sprache sioux