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Big Ideas Math Integrated I, 2016 View details

1. Exponential Functions

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Exercise 50 Page 279

Determine the ratios of the consecutive y-values and find the y-intercept.

y=8(0.5)^x

Practice makes perfect

We want to write an exponential function represented by the given graph.

To do so, we will start by making a table of the x- and y-values marked on the given graph. Then, we will calculate the increase in the x-values and the ratio between consecutive y-values.

The y-values change by a factor of 0.5 as x increases by 1. Moreover, note that when x=0, we have that y=8. This means the y-intercept is 8. We have enough information to write the exponential function. y= 8( 0.5)^x