Exponential Graph Analysis

The video tutorial explains how Dakota built an exponential graph to model the growth of a savings account starting with $200 and increasing by 6% annually. It describes the x-axis as representing time in years and the y-axis as the account's value. The tutorial discusses appropriate domain values, emphasizing that negative years are not applicable, but zero and positive years are valid.

What is the initial amount in the savings account according to the exponential graph?

• $100

• $200

• $300

• $400

What happens to the account value each year according to the graph?

• It increases by 6%

• It remains the same

• It decreases by 6%

• It doubles

What does the x-axis represent in the exponential graph?

• The amount of money

• The interest rate

• The number of years

• The account holder's age

What does the y-axis represent in the exponential graph?

• The number of years

• The interest rate

• The value of the savings account

• The account holder's age

In the context of the graph, what does the term 'domain' refer to?

• The interest rate

• The number of years

• The account holder's age

• The initial amount

Which of the following is NOT an appropriate domain value for the graph?

• 3 years

• 0 years

• -1 year

• 5 years

Why is '0 years' considered a valid domain value?

• Because it is a negative value

• Because the account starts with $200 at year zero

• Because it is not a real number

• Because it represents the interest rate

Why can't negative years be used as domain values?

• Because they are not whole numbers

• Because the account was not opened in the past

• Because negative years are not real numbers

• Because they represent future values