WARMUP USE FUNCTIONS INVOLVING E EQ When is

WARM-UP

USE FUNCTIONS INVOLVING E EQ: When is the natural base e useful? Mastery demonstrated in summary of notes and in practice problems.

THE NATURAL BASE E OR THEEULER NUMBER EQ: When is the natural base e useful? Mastery demonstrated in summary of notes and in practice problems.

Example 2 Evaluate natural base expressions Use a calculator to evaluate the expression. Expression a. e 4 b. e – 0. 09 Keystrokes Display 54. 59815003 0. 09 EQ: When is the natural base e useful? Mastery demonstrated in summary of notes and in practice problems. 0. 9139311853

EQ: When is the natural base e useful? Mastery demonstrated in summary of notes and in practice problems.

Example 3 Graph the function. State the domain and range. EQ: When is the natural base e useful? Mastery demonstrated in summary of notes and in practice problems.

EQ: When is the natural base e useful? Mastery demonstrated in summary of notes and in practice problems.

EXAMPLE 5 Example 4 Model continuously compounded interest Finance You deposit $4000 in an account that pays 6% annual interest compounded continuously. What is the balance after 1 year? EQ: When is the natural base e useful? Mastery demonstrated in summary of notes and in practice problems.

GUIDED PRACTICE FINANCE: You deposit $2500 in an account that pays 5% annual interest compounded continuously. Find the balance after each amount of time? a. 2 years b. 5 years c. 7. 5 years EQ: When is the natural base e useful? Mastery demonstrated in summary of notes and in practice problems.

Homework: p. 495 - 496# 3, 7, 11, 15, 16, 17, 19, 23, 27, 31, 35, 39, 42, 45, 48 (All the problems on the left-hand side of pages. ) Write your Summary to the Essential Question: When is the natural base e useful?

Simplify the expression.