Modeling with Functions Answers

Which exponential function models the data? Round the numerical values to the nearest hundredth.

The function f(x) =()x models the data.

After 35 years, the home’s value will be about $ thousand.

f(x) = x2 + x +

f(x) = x2 + x +

f(x) = x2 + x +

Use the function to predict the number of births for month 8. There will be about births.

Consider the data points (–4, –14), (–2, –7), (0, –3),(2, –2), and (6, –6). Which type of function would best model the data set?

Let x be the number of years since 1990. The year 2005 corresponds to an x-value of .

The function that best models the data, with numerical values rounded to the nearest hundredth, is f(x) = x + 22.08.

Models have their limitations. For which year would this model not make sense to use?

The function that best models the data is .

The amount of methane emissions in 2000 was about million metric tons.

The amount of methane emissions in the years immediately following 2008 would most likely.