Understanding Recursive and Explicit Functions

The video tutorial explains how to write equations from a table, focusing on explicit and recursive functions. It begins by identifying the type of function based on the pattern of multiplication by two. The explicit function is described as using the starting output and multiplying it by two raised to the power of x minus one. An example is provided to illustrate this. The recursive function is then explained, focusing on working with outputs and multiplying by two using the output of the previous value. The tutorial provides examples to demonstrate the calculations for both types of functions.

What are the two types of functions discussed in the video?

• Logarithmic and Trigonometric

• Linear and Quadratic

• Polynomial and Exponential

• Explicit and Recursive

How can you identify the type of function from a table?

• By checking if the values are added by a constant

• By seeing if the values are multiplied by a constant

• By checking if the values are subtracted by a constant

• By observing if the values are divided by a constant

What is the starting output value used in the explicit function example?

• 2

• 10

• 5

• 20

In the explicit function, what operation is performed on the starting output?

• It is multiplied by a constant

• It is added to the input value

• It is subtracted from the input value

• It is divided by the input value

How is the power of 2 determined in the explicit function?

• By adding 1 to the input value

• By subtracting 1 from the input value

• By multiplying the input value by 2

• By dividing the input value by 2

In the explicit function, what is the role of the input value?

• It is added to the output

• It determines the power of 2

• It is subtracted from the output

• It is divided by the output

For x = 3, what is the calculated y value in the explicit function example?

• 10

• 15

• 20

• 25

What is the main difference between explicit and recursive functions?

• Explicit functions are constant, recursive are variable

• Explicit functions are linear, recursive are quadratic

• Explicit functions use inputs, recursive use outputs

• Explicit functions use addition, recursive use subtraction

In a recursive function, what is used to calculate the current output?

• The sum of all previous outputs

• A constant value

• The previous output value

• The input value

What is the multiplication factor used in the recursive function example?

• 5

• 2

• 4

• 3