Exponential Functions and Their Properties

The video tutorial covers exponential functions, comparing them with power functions, and graphing techniques. It explains solving exponential equations and explores real-world applications, including interest calculations and population growth models.

What is the result of 3 to the power of the square root of 5, rounded to the nearest thousandth?

• 11.665

• 11.666

• 11.667

• 11.668

Which of the following is a characteristic of a power function?

• The base is always greater than zero.

• The variable is the exponent.

• The function is always increasing.

• The variable is the base.

How does the graph of an exponential function with a base greater than one behave?

• It decreases continuously.

• It is a horizontal line.

• It increases continuously.

• It forms a parabola.

What is the solution to the equation 25^x = 125?

• x = 1

• x = 1.5

• x = 2

• x = 2.5

What is the approximate value of the natural number e?

• 2.414

• 1.618

• 3.142

• 2.718

How does the risk of dying from influenza or pneumonia change after age 55 according to the given function?

• It decreases exponentially.

• It increases exponentially.

• It remains constant.

• It decreases linearly.