Exponential Functions and TI-84 Calculator

This video tutorial demonstrates how to determine an exponential function given two points using a TI-84 calculator. It covers identifying the initial value, entering data into the calculator, performing exponential regression, and formulating the exponential function. The tutorial concludes with calculating the function's value at x=5, illustrating exponential growth.

What is the initial value of the exponential function given the point (0, 6)?

• 0

• 6

• 13.5

• 2

Which list in the TI-84 calculator is used to enter the x-values?

• L1

• L4

• L2

• L3

What is the option number for exponential regression on the TI-84 calculator?

• 7

• 9

• 5

• 0

In the exponential function y = a * b^x, what does 'a' represent?

• The growth factor

• The base

• The exponent

• The initial value

If the base of an exponential function is greater than 1, what does it indicate?

• Decay

• Growth

• Stability

• Oscillation

What is the value of 'b' in the exponential function derived from the points (0, 6) and (2, 13.5)?

• 1.5

• 0.5

• 2

• 3

How is 1.5 represented as a fraction?

• 5/3

• 2/3

• 1/2

• 3/2

What is the result of converting the decimal 1.5 to a fraction?

• 2/3

• 5/2

• 3/2

• 1/2

What is the value of f(5) for the function f(x) = 6 * (3/2)^x?

• 81/16

• 27/16

• 729/16

• 243/16

What operation is performed to find f(5) in the exponential function?

• Addition

• Subtraction

• Multiplication

• Exponentiation