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 entering data, performing exponential regression, and understanding the resulting function. The video also explains how to identify the initial value, determine if the function represents growth or decay, and calculate f(2).

What are the coordinates of the two points through which the exponential function passes?

• (1, 6) and (3, 27/8)

• (2, 5) and (4, 16)

• (0, 1) and (2, 4)

• (1, 3) and (2, 9)

What is the first step in entering data into the TI-84 calculator?

• Entering x-values in L1

• Pressing the 'Graph' button

• Turning off the calculator

• Clearing old data

Which option on the TI-84 is used for exponential regression?

• Option 9

• Option 1

• Option 5

• Option 0

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

• The base of the exponent

• The rate of growth

• The x-intercept

• The initial value

What is the initial value of the exponential function found in the video?

• 6

• 3/4

• 0.75

• 8

If the base 'b' of an exponential function is between 0 and 1, what does it indicate?

• Exponential growth

• Exponential decay

• Linear growth

• Constant function

How do you calculate f(2) for the exponential function using the TI-84?

• By multiplying the initial value by 2

• By dividing the initial value by 2

• By raising the base to the power of 2

• By adding 2 to the initial value

What is the value of f(2) for the exponential function in the video?

• 9

• 3

• 4.5

• 6

How can you express 4.5 as a fraction?

• 7/2

• 5/2

• 3/2

• 9/2

What is the purpose of using the 'math' and 'enter' keys on the TI-84?

• To convert decimals to fractions

• To clear the screen

• To graph the function

• To turn off the calculator