JNTU B.Tech IV R PROGRAMMING Previous Question Paper (July/August - 2022 - R16)

R is a dynamically typed language where variables do not require explicit declaration. The primary data types are:

• Numeric: Represents real numbers, including decimals (e.g., 10.5, 5).
• Integer: Represents whole numbers. These are defined by appending an 'L' suffix (e.g., 5L).
• Character: Represents text strings enclosed in single or double quotes (e.g., "Hello").
• Logical: Represents boolean values TRUE or FALSE.
• Complex: Represents numbers with an imaginary part, denoted by 'i' (e.g., 2+3i).
• Raw: Used to hold raw bytes of data.

To tabulate the function f(x) = 3x²+2x+1 in the specified range, use the sequence generation function and vectorization:

x <- seq(-1, 1, by = 0.2) 
f_x <- 3 * x^2 + 2 * x + 1 
table <- data.frame(x, f_x) 
print(table)

The seq() function creates the vector of x-values, and the arithmetic operations are applied element-wise to the vector to compute the corresponding values of f(x). The results are then stored and displayed as a data.frame.