Question

algebra 1b - standard 15281exponential growth functionsseveral ordered pairs from a continuous exponential function are shown in the table.|$x$|$y$||----|----||0|4||1|5||2|6.25||3|7.8125|what are the domain and range of the function?the domain is the set of real numbers, and the range is $y > 0$.the domain is the set of real numbers, and the range is $y > 4$.the domain is the set of integers, and the range is $y > 4$.the domain is the set of integers, and the range is $y > 0$.

Explanation:

Exponential functions are defined for all real numbers as input (domain), so the domain is all real numbers. For this exponential growth function, the y-values start at 4 and increase, but exponential growth functions of the form $y = ab^x$ (with $a>0, b>1$) have a range of all positive real numbers greater than 0, since even as $x$ approaches negative infinity, $y$ approaches 0 but never reaches it, and grows to positive infinity as $x$ increases.

Answer:

The domain is the set of real numbers, and the range is $y > 0$.