How to determine if a function is a power function and find the constant and power

The video tutorial explains how to identify power functions by determining the constant (K) and the exponent (A) in an expression. It guides students through rewriting expressions to reveal the power function format, emphasizing the importance of recognizing a constant multiplied by a variable raised to a power. The tutorial concludes with a summary of the steps needed to identify and determine the components of a power function.

What is the main question the teacher asks about power functions?

• What is the history of power functions?

• When is a function considered a power function?

• How to graph power functions?

• How to solve power functions?

What is the expression 4/3 times π rewritten as?

• 4π/3 R to the fifth

• 4π/3 R squared

• 4π/3 R cubed

• 4π/3 R to the fourth

In the rewritten expression, what does the teacher identify as the constant K?

• 4π/3

• π

• 3

• R

What is the value of 'a' in the power function identified by the teacher?

• 3

• 2

• 4

• 1

Why is it important to determine the values of K and a in a power function?

• To graph the function

• To classify the function correctly

• To find the roots of the function

• To solve the equation