Understanding Exponential Functions

The video tutorial explains how to write an explicit formula for an exponential function using a table of values. It covers identifying whether a function is exponential, writing the formula using function notation, and verifying the function's accuracy. The tutorial also demonstrates creating another exponential function and checking its correctness.

What is the first step in writing an explicit formula for an exponential function from a table?

• Find the common difference

• Check if the inputs increase by one

• Determine if the function is linear

• Identify the initial value

Why is function notation used instead of 'Y' in this context?

• To confuse students

• Because it is more modern

• To emphasize the function's input-output relationship

• To make calculations easier

How can you determine if a function is exponential from a table?

• By checking if the inputs are divided by a constant

• By checking if the outputs are added by a constant

• By checking if the outputs are multiplied by a constant

• By checking if the inputs are subtracted by a constant

What is a geometric sequence?

• A sequence where each term is added by a constant

• A sequence where each term is subtracted by a constant

• A sequence where each term is multiplied by a constant

• A sequence where each term is divided by a constant

In an exponential function, what role does the input play?

• It is the base of the exponent

• It is the exponent

• It is the constant

• It is the coefficient

What is the initial value in the function 3 * 2^x?

• 3

• 2

• 6

• 12

How do you verify if an exponential function is correct?

• By checking if it is a quadratic function

• By checking if it matches the table values

• By checking if it is a linear function

• By checking if it is an arithmetic sequence

What is the initial value for the function starting with 20 and multiplying by 2?

• 5

• 20

• 15

• 10

What should you do if the inputs in a table do not increase by one?

• Use a different method

• Multiply the inputs by a constant

• Ignore the table

• Add a constant to the inputs