Graphing exponential growth equations

The video tutorial explains how to graph an exponential function, specifically y = 3^x. It begins by introducing the concept of exponential growth and the general form of the function. The instructor then demonstrates how to create a table of values by selecting specific x-values and calculating corresponding y-values. These points are plotted on a graph to visualize the exponential curve. The tutorial also covers important concepts such as the asymptote, domain, and range of the function, emphasizing that the domain is all real numbers and the range is from 0 to infinity.

What is the general form of an exponential function?

• y = mx + b

• y = b^x

• y = ax^2 + bx + c

• y = x^b

Why is it important for the base of an exponential function to be greater than one?

• To ensure the function is a decay exponential

• To ensure the function is a growth exponential

• To make the function quadratic

• To make the function linear

What is the value of y when x is zero in an exponential function?

• One

• Negative one

• Zero

• The base value

What is the y-value when x is -2 for the function y = 3^x?

• 1/9

• 1/3

• 3

• 9

What is the asymptote of the graph of y = 3^x?

• y = 1

• x = 1

• y = 0

• x = 0