MAT 1100 Quantitative Reasoning Module 3 Lesson 2 Assignment 2

This document is a solved assignment for MAT 1100 Quantitative Reasoning Module 3 Lesson 2 Assignment 2. It includes topics such as functions, domain and range, linear functions, and graphing linear functions.

MAT 1100 Quantitative Reasoning Module 3 Lesson 2 Assignment 2
Student Name:
1) Decide whether the relation is a function.
a) {(-8, 2), (-8, 8), (-1, 8), (5, -7), (10, -8)} A) Function B) Not a function
Solution: Note that a function is a relationship in which each input has exactly one and unique output. Since, in
ordered pair (-8, 2) and (-8, 8), the input value is -8 and output values are 2 and 8 which are not unique. Hence,
the given relation is not a function.
b)
A) Function B) Not a function
Solution: Since, each input has exactly one and unique output. So the given relation is a function.
2) Give the domain and range of the each function.
a) b) f
Domain: [-3, 3] Domain: {4, 7, 12}
Range: [2, inf] Range: {13}
3) An equation that defines y as a function of x is given.
a) Solve for y in terms of x
b) replace y with the function notation f(x).

MAT 1100 Quantitative Reasoning Module 3 Lesson 2 Assignment 2
a) 5x - 6y = 5
Solution: Given 5x - 6y = 5
Gives,
b) 2x – 5y = 4
Solution: Given 2x – 5y = 4
Gives,
4) Evaluate each function.
a) Find f(7) = 4, b) Find f(-4) = -7

MAT 1100 Quantitative Reasoning Module 3 Lesson 2 Assignment 2
5) The graph of y = f(x) is shown below. Let x = -1 and find y = f(-1) = 0
Find three ordered pair solutions by completing the table. Then use the ordered pairs to select the graph
of the equation.
6) y = 4x + 3
x y
0 3
1 7
-1 -1
A) B)
C) D)
And the graph of the function is

MAT 1100 Quantitative Reasoning Module 3 Lesson 2 Assignment 2
Hence, answer option (A) is correct.
7) A truck rental company charges $35, plus $0.07 per mile to rent a moving truck for a day. If x represents the
number of miles driven and f(x) represents the total cost to rent the truck for a day, write a linear function that
models the situation.
Solution: The linear function is , where x is miles driven
8) An electrician charges a fee of $60 plus $45 per hour. Let C(x) is the cost in dollars of using the electrician
for x hours. Write a cost function.
Solution: The cost function is
9) Assume that the sales of a computer retail store are approximated by a linear function. Sales were in
1985 and in 1990. Let x = 0 represent 1985
a) Find the equation giving yearly sales.
b)Estimate sales in 1993.
Solution (a): Let and . Then the equation of linear function is
Solution (b): Estimate sales in x = 1993 is

MAT 1100 Quantitative Reasoning Module 3 Lesson 2 Assignment 2
10) Graph the linear function. Give the domain and range
f(x) = -5x + 4
A) D = (-∞, ∞), B) D = (-∞, ∞),
R = (-∞, ∞) R = (-∞, ∞)
Solution: The graph of the function f(x) = -5x + 4 is
B) D = (-∞, ∞), R = (-∞, ∞)