Math Problem Statement

Evaluate the exponential function f(x) = e^x for the given values of x, rounding answers to two decimal places. Exercise 37: f(x) = e^x with specific inputs (a. f(4), b. f(-3.2), c. f(√13), d. f(π)).

Solution

The problem provided asks to evaluate the exponential function f(x)=exf(x) = e^x for given values of xx, rounding answers to two decimal places. Let’s solve Exercise 37 step-by-step.

Given:

f(x)=exf(x) = e^x

Where e≈2.718e \approx 2.718. We'll calculate the values for the given inputs:

a. f(4)f(4):

[ f(

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Exponential Functions
Euler's Number (e)
Function Evaluation

Formulas

f(x) = e^x

Theorems

Properties of Exponential Functions

Suitable Grade Level

Grades 10-12

Related Recommendation

Evaluate the Exponential Function h(x) = e^x at Specific Points

Evaluate the Function f(x) = −3e^x − 1 at x = -5

Evaluate Exponential Functions: f(4), g(-2), h(-3)

Evaluate Exponential Expressions: e^(-0.45) and 150e^(0.3)

Understanding the Exponential Function e^x: Derivatives and Integration