Graphing Exponential Growth and Decay Functions

This video tutorial introduces Chapter 8, focusing on exponential and logarithmic functions. It explains the properties of exponential functions, including the base and exponent, and how to graph them without a calculator. The video provides examples of exponential growth and decay, followed by practice problems for students to solve independently.

What is the base in the function y = 5^x?

• None of the above

• y

• x

• 5

What does the 'a' constant in the function y = a * b^x indicate?

• The exponent in the function

• It represents the asymptote

• The base of the function

• It affects the graph's direction and stretch

What is the domain of exponential functions?

• All positive numbers

• All negative numbers

• All real numbers

• Only integers

What does the 'k' constant represent in the function y = a * b^x + k?

• The base

• The stretch factor

• The asymptote

• The exponent

In the function y = 2^(x + 1), what is the asymptote?

• y = 2

• y = 1

• y = 0

• y = x

For the function y = 1/3^x, what type of exponential function is it?

• Quadratic

• Linear

• Decay

• Growth

What is the range for the function y = 2^(x) + 1?

• y > 0

• y > 1

• y < 1

• y = 1

If the base of an exponential function is greater than 1, what type of function is it?

• Decay

• None of the above

• Growth

• Linear

In the function y = 1/4^(x + 2) - 3, what is the asymptote?

• y = 0

• y = 3

• y = -3

• y = 1/4

What profession did the Seven Dwarfs have in the Snow White movie?

• Carpenters

• Bakers

• Coal miners

• Farmers