Applied Sciences

1

King Abdul Aziz University

Faculty of Computing & Information Technology

Computer Science Department

CPCS-222 (Discrete Structure I)

Assignment 03

Announced Date: July 15, 2020

Due Date: June 18, 2020

Student ID:

Student Name:

***Section: XA

Note: Please use additional sheet if needed

Marks Obtained:

Maximum Marks: 30

2

Q.1: (pts 06)

Determine whether f is a function from Z to R

A. f(x) = 1 ⁄ (x 2 − 4)

B. f(x) = ±x

Answer:

3

Q.2: (pts 06)

Determine whether each of these functions from {a, b, c, d} to itself is one-to-one. And

which functions are onto?

A. f (a) = b, f (b) = a, f (c) = c, f (d) = d

B. f (a) = b, f (b) = b, f (c) = d, f (d) = c

Answer:

4

Q.3: (pts 06)

Determine whether each of these functions from R to R is invertible. If so, find its

inverse.

A. f (x) = -3x + 4

B. f (x) = -3×2 + 7

Answer:

5

Q.4: (pts 06)

Find f o g and g o f, where f (x) = x2 + 1 and g(x) = x + 2, are functions from R to R.

Answer:

6

Q.5: (pts 06)

Represent each of these relations on {1, 2, 3, 4} with a matrix (with the elements of this

set listed in increasing order).

A. {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}

B. {(1, 1), (1, 4), (2, 2), (3, 3), (4, 1)}

Answer:

1.  In a paragraph, summarize the article overall.

2.   What two things did you learn from this article?

3.  After reading this article, what would you tell someone who eats a poor diet and has some of the risk factors for overweight and obesity? Do you think cultural differences can contribute to what foods are habitually eaten?

“Overweight and Obesity Statistics” published by the USDHHS. Analyze the article and answer the following:

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