# Exponential Functions o Work on Exploration 1: Exponential Functions page 22 o Definition of Exponential Function o Graphs of Exponential Growth & Decay.

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Exponential Functions o Work on Exploration 1: Exponential Functions page 22 o Definition of Exponential Function o Graphs of Exponential Growth & Decay o Applications o Rules for Exponents o Quick Review Problem 1.3

Exploration 1: Exponential Functions Please work on the exploration on page 22 in your textbooks.

Analyzing Exponential Functions Answer questions 1, 2, & 3

Analyzing Exponential Functions Answer question 6

Exponential Function If, then defines the exponential function with base a and exponent x.

Characteristics of Exponential Functions HA y=0 a>1 function is increasing 0 { "@context": "http://schema.org", "@type": "ImageObject", "contentUrl": "http://images.slideplayer.com/9/2517061/slides/slide_6.jpg", "name": "Characteristics of Exponential Functions HA y=0 a>1 function is increasing 01 function is increasing 0

Ex 1: Find the domain and range.

Ex 2: Find the zeros of You should be able to answer this question using  Graphing – Math:Zeros  Algebraically  Numerically – Graphing Calc (solve, zeros)

Ex 3: Applications – Radioactive Decay Suppose the half-life of a certain radioactive substance is 20 days and that there are 5 grams present initially. When will there be only 1 gram of the substance remaining?

Applications – Compound Interest Compounded Interest Interest Compounded Continuously

Determine how much time is required for an investment to double in value if interest is earned at the rate of 6.25%  A) compounded monthly.  B) compounded continuously. Ex 3: Applications – Compound Interest

Review from Algebra 1 & 2 Refresh your memory on the rules of exponents on page 23. Look at the problems in the Quick Review 1.3 on page 26. Do you have any questions??

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