Exponential and Logarithmic Functions.

Graphs of Exponential Functions.

Equation:y-intercept:Domain:Range:Asymptote:

a > 1 0 < a < 1

Equation:y-intercept:Domain:Range:Asymptote:

x

y

x

y

Exponential and Logarithmic Functions.

Graphs of Logarithmic Functions.

Equation:y-intercept:Domain:Range:Asymptote:

a > 1 0 < a < 1

Equation:y-intercept:Domain:Range:Asymptote:

x

y

x

y

Examples. Sketch the graph of the following functions:

x

y

x

y

x

y

x

y

Exercises. Sketch the graph of the following functions:

Homework.

Posted on Blackboard (Assignments).

Collaborative Activity 1.

Posted on Blackboard (Course Documents).

You will work in teams up to four people.

Due date: September 3.

Piecewise functions.

Opener.Sketch the graph of the functions on the same XY-plane.

Piecewise function is a function that is defined piecewise, that is, f(x) is given by different expressions on various intervals.

Examples.Sketch the graph of the following functions:

Exercises.

Homework.

Posted on Blackboard (Assignments).

Absolute Value Functions.

Opener.

1. Find the following:

2. Sketch the graph of the following function:

Official definition of the Absolute Value:

The Absolute Value Function is given by:

Examples. Sketch the graph of: