In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. e^2.3

Key Concepts

Exponential Functions

Exponential functions are mathematical expressions in the form of f(x) = a * b^x, where 'a' is a constant, 'b' is the base, and 'x' is the exponent. The function e^x, where 'e' is Euler's number (approximately 2.718), is a fundamental exponential function used in various applications, including growth and decay models. Understanding how to evaluate these functions is crucial for solving problems involving exponential growth.

Calculator Usage

Using a calculator effectively is essential for approximating values of complex functions like e^x. Most scientific and graphing calculators have a dedicated 'e' button or function that allows users to compute exponential values directly. Familiarity with the calculator's functions, including how to input exponents and round results, is necessary for accurate calculations.

Rounding Numbers

Rounding numbers involves adjusting a numerical value to a specified degree of precision, which in this case is three decimal places. This process is important for presenting results in a clear and concise manner, especially in scientific and mathematical contexts. Understanding the rules of rounding, such as when to round up or down, is essential for ensuring that the final answer is both accurate and appropriately formatted.