Domain and Range of Functions

This video tutorial explains how to find the domain and range of exponential functions. It builds on the concepts learned with linear functions, focusing on the differences when dealing with curves. The video provides multiple examples, illustrating how to determine the domain and range by analyzing the graph's behavior, such as arrows indicating infinity and the position of asymptotes. The tutorial emphasizes that the domain of exponential functions is always all real numbers, while the range depends on the asymptote and the direction of the curve.

What is the main difference between finding the domain and range of linear functions and exponential functions?

• Exponential functions have no asymptotes.

• Linear functions have curves.

• Exponential functions have curves.

• Linear functions have asymptotes.

What does the symbol 'R' with an extra line represent?

• All rational numbers

• All real numbers

• All integers

• All complex numbers

In the first example, what is the domain of the graph?

• From negative infinity to positive infinity

• From 0 to 1

• From negative infinity to 0

• From 0 to infinity

In the first example, what is the range of the graph?

• From 1 to positive infinity

• From negative infinity to positive infinity

• From negative infinity to 0

• From 0 to positive infinity

In the second example, where is the asymptote located?

• At y = 0

• At y = 1

• At y = 2

• At y = 3

In the second example, what is the range of the graph?

• From negative infinity to 0

• From 0 to infinity

• From 2 to infinity

• From negative infinity to 2

In the third example, what is the range of the graph?

• From negative infinity to 8

• From 0 to 8

• From 8 to infinity

• From negative infinity to 0

In the third example, what inequality represents the range?

• y > 0

• y < 8

• y < 0

• y > 8

In the fourth example, what is the domain of the graph?

• From negative infinity to positive infinity

• From 0 to 1

• From negative infinity to 0

• From 0 to infinity

In the fourth example, what is the range of the graph?

• From 6 to infinity

• From negative infinity to 0

• From 0 to 6

• From negative infinity to 6