Understanding Exponential Functions

This video tutorial covers the basics of graphing exponential functions, explaining their properties, and demonstrating how to graph them by plotting points. It also explores graph transformations and their effects on exponential functions. The video concludes with real-life applications of exponential functions, such as population growth and finance, emphasizing their importance in modeling various scenarios.

What is the general form of an exponential function?

• y = a/x

• y = ax + b

• y = a^x

• y = ax^2

In an exponential function, if 'a' is greater than 1, what is the behavior of the graph?

• The graph increases

• The graph remains constant

• The graph decreases

• The graph oscillates

Why is 'a' not equal to 1 in an exponential function?

• It results in a complex function

• It results in a constant function

• It results in a quadratic function

• It results in a linear function

What happens to the graph of an exponential function as x approaches negative infinity?

• It approaches infinity

• It approaches zero

• It becomes undefined

• It oscillates

How does adding a constant to an exponential function affect its graph?

• It stretches the graph vertically

• It shifts the graph horizontally

• It shifts the graph vertically

• It compresses the graph horizontally

Which of the following is a real-life application of exponential functions?

• Population growth

• Linear motion

• Projectile motion

• Circular motion