Exponential Functions and Sequences

The video tutorial explains the function f(x) = 2^x, demonstrating how to substitute values of x into the function to calculate outputs. It shows the pattern of exponential growth in the outputs and encourages predicting the next value in the sequence.

What is the result of f(1) when using the function f(x) = 2^x?

• 4

• 3

• 2

• 1

How do you calculate f(2) using the function f(x) = 2^x?

• 2 * 2

• 2/2

• 2 + 2

• 2^2

What is the output of f(3) in the function f(x) = 2^x?

• 6

• 7

• 9

• 8

What pattern can be observed in the outputs of f(1), f(2), and f(3)?

• Subtraction

• Addition

• Division

• Multiplication by 2

What is the value of f(4) using the function f(x) = 2^x?

• 12

• 16

• 14

• 18

What would be the next number in the sequence after calculating f(4)?

• 18

• 20

• 16

• 32