Functions (exponential and logarithmic)

f(x) represents

• x first because its in ( )
• f times x
• function notation
• no clue

When is f(t) = 1500? What does this mean in this situation?

• A lot of money

• That after 0 year the dollar amount is 150

• That after 1 year the dollar amount is 1500

• That after 1500 year the dollar amount is 10

 $f\left(t\right)=100\left(2\right)^t$  represents the number of rabbits in a forest after  $t$  years. How is the number of rabbits changing? (Answer in context)

• The number of rabbits is multiplying by 100 every year.

• The number of rabbits is multiplying by 2 every year.

• The number of rabbits is doubling every year.

What does the y-intercept of the graph represent?

• The amount of grams the material is gaining.
• The amount of grams the material is losing.
• The amount of grams remaining after so many years.
• The initial amount of grams.

What is a, the initial amount, for the function: f(x) = 800(0.85)^x?

• 800
• 0.85
• 0.15
• 680

The expression $4\left(3\right)^t$ gives the number of ducks living in Anoop’s pond t years after he built it. What does 4 represent in this expression?

• There were 4 ducks in Anoop’s pond after one year.

• There were 4 ducks living in Anoop’s pond when he first built it.

• The number of ducks living in Anoop’s pond is multiplied by 4 every year.

• It has been 4 years since Anoop built the pond.

In an exponential function, what does the 'a' represent?

• slope

• rate of change

• y-intercept

• common ratio

Mathematical Equivalence

ON

In an exponential function, what does the 'a' and 'b' represent? Read carefully.

• 
• 
• 
• 

Which statement is the best interpretation of one of the values in this function?

• The initial balance of the account was $1,025.

• The balance in the account at the end of one year is $850.