Writing Exponential Functions PART 2 Finite Differences Unlike

Writing Exponential Functions PART 2

Finite Differences Unlike a linear function, the finite differences for an exponential function are not constant. Instead, the multiplicative pattern repeats in finite differences.

Finite Differences Instead of looking at the finite differences, look at the ratios.

Writing Exponential Functions Steps to writing an exponential function: 1: Determine the finite differences of the x-values and the successive ratios of the y-values 2: Determine whether or not the relationship is an exponential function 3: Determine the y-intercept of the exponential function 4: Use the common ratio and y-intercept to write the function y = a*bx

Examples For the data set below, determine if the relationship is an exponential function. If so, determine a function relating the variables.

Examples 1: Determine the finite differences of the x-values and the successive ratios of the y-values

Examples 2: Determine whether or not the relationship is an exponential function

Examples

Examples 4: Use the common ratio and y-intercept to write the function y = a*bx y = 1. 6*2. 5 x

Examples For the data set below, determine if the relationship is an exponential function. If so, write a function relating the variables.

Examples