Writing Exponential Functions from Tables and Graphs

The video tutorial explains exponential functions, focusing on deriving the formula for G(T) using an initial value of -2 and a common ratio of 17. It covers the significance of the initial value and how the common ratio affects the function's growth. The tutorial also illustrates how the formula is constructed and the role of the common ratio in determining the relationship between successive terms.

What is the initial value of the exponential function g?

• 1/7

• 1

• 0

• -2

What is the common ratio for the exponential function g?

• 7

• 0

• -2

• 1/7

Which formula represents the exponential function g(t)?

• g(t) = -2 * (1/7)^t

• g(t) = -2 + (1/7)^t

• g(t) = -2 / (1/7)^t

• g(t) = -2 - (1/7)^t

What is the value of g(0)?

• 0

• -2

• 1

• 1/7

What is the significance of the initial value in an exponential function?

• It is the maximum value of the function

• It is the starting value of the function

• It is the value when t equals 1

• It determines the function's growth rate

What happens to g(t) when t is incremented by 1?

• Increased by 1

• Decreased by 2

• Multiplied by 7

• Multiplied by 1/7

What does the term 'common ratio' refer to in the context of exponential functions?

• The product of the initial value and t

• The factor by which successive terms are multiplied

• The sum of all terms

• The difference between successive terms

If the common ratio is less than 1, what is the behavior of the exponential function as t increases?

• It becomes negative

• It remains constant

• It increases without bound

• It approaches zero

How does the value of g(t) change as t increases?

• It oscillates

• It decreases

• It increases

• It remains the same