Understanding Exponential Functions Concepts

The video tutorial introduces exponential functions, highlighting their differences from linear functions. It focuses on the concept of constant ratio, explaining how it defines exponential functions by multiplying outputs by a consistent value. The tutorial demonstrates calculating the constant ratio using consecutive outputs and applying it to find new values. It concludes with graphing exponential functions, showing how they differ from linear functions in terms of growth rate and curve shape.

What is the main focus of this week's assignment?

• Linear functions

• Exponential functions

• Quadratic functions

• Trigonometric functions

What is a key difference between linear and exponential functions?

• Linear functions have a constant ratio.

• Exponential functions have a slope.

• Exponential functions subtract the same value from outputs.

• Linear functions add the same value to outputs.

What does the constant ratio in exponential functions represent?

• The value multiplied to each output

• The value added to each output

• The value divided from each output

• The value subtracted from each output

How do you calculate the constant ratio?

• Subtract consecutive outputs

• Multiply consecutive outputs

• Add consecutive outputs

• Divide consecutive outputs

If the output goes from 5 to 20, what is the constant ratio?

• 5

• 2

• 3

• 4

What is the result of dividing 20 by 5 in the context of exponential functions?

• 2

• 3

• 4

• 5

What is the result of dividing 80 by 20 in the context of exponential functions?

• 5

• 4

• 3

• 2

What is the result of dividing 320 by 80 in the context of exponential functions?

• 3

• 2

• 5

• 4

What is the next value if the current output is 80 and the constant ratio is 4?

• 160

• 240

• 400

• 320

What is the result of multiplying 320 by the constant ratio of 4?

• 1600

• 1280

• 960

• 640