1
Math Assignment Unit 1
Data Structures
College Algebra
Math 1201
November 2025
, 2
Task 1
1. Domain and Range
The collection of all potential (x)-values for which a function is defined is known as
the graph's domain. (J. Abramson, 2023). The graph in this instance extends
indefinitely to the left and right. Therefore, the domain consists entirely of real
numbers: Domain: (−∞,+ ∞)
The collection of all potential y-values that the function can accept is known as the
range. (J. Abramson, 2023). The graph demonstrates that the y-values are likewise
indefinitely extended in both positive and negative directions. As a result, the range
consists only of real numbers: Range: (−∞,+ ∞)
The Vertical Line Test may be used to ascertain if a graph depicts a function, according
to Abramson, J. (2023). The graph is not a function if any vertical line drawn across it
crosses it more than once.
Every vertical line in this graph will cross the curve precisely once. As a result, a
function is represented by this graph.
2. Is it a One-to-One (Injective) Function?
If no two distinct x-values map to the same y-value, the function is said to be one-to-one. A
function is not one-to-one if any horizontal line crosses the graph more than once, according to
the Horizontal Line Test (J. Abramson, 2023). Horizontal lines (such as (y = 5) intersect this
graph more than once. This graph is not a one-to-one function as a result.
Conclusion of Task 1:
• Domain: (−∞,+ ∞)
• Range: (−∞,+ ∞)
• Function: Yes, because it passes the Vertical Line Test.
• One-to-One Function: No, because it fails the Horizontal Line Test.
Task 2:
Imagine that the export of Avocados from Indonesia is described by the relation:
E(P) = P – 10000, P ≥10000 where P represents the production (in thousand) of Avocados.
Math Assignment Unit 1
Data Structures
College Algebra
Math 1201
November 2025
, 2
Task 1
1. Domain and Range
The collection of all potential (x)-values for which a function is defined is known as
the graph's domain. (J. Abramson, 2023). The graph in this instance extends
indefinitely to the left and right. Therefore, the domain consists entirely of real
numbers: Domain: (−∞,+ ∞)
The collection of all potential y-values that the function can accept is known as the
range. (J. Abramson, 2023). The graph demonstrates that the y-values are likewise
indefinitely extended in both positive and negative directions. As a result, the range
consists only of real numbers: Range: (−∞,+ ∞)
The Vertical Line Test may be used to ascertain if a graph depicts a function, according
to Abramson, J. (2023). The graph is not a function if any vertical line drawn across it
crosses it more than once.
Every vertical line in this graph will cross the curve precisely once. As a result, a
function is represented by this graph.
2. Is it a One-to-One (Injective) Function?
If no two distinct x-values map to the same y-value, the function is said to be one-to-one. A
function is not one-to-one if any horizontal line crosses the graph more than once, according to
the Horizontal Line Test (J. Abramson, 2023). Horizontal lines (such as (y = 5) intersect this
graph more than once. This graph is not a one-to-one function as a result.
Conclusion of Task 1:
• Domain: (−∞,+ ∞)
• Range: (−∞,+ ∞)
• Function: Yes, because it passes the Vertical Line Test.
• One-to-One Function: No, because it fails the Horizontal Line Test.
Task 2:
Imagine that the export of Avocados from Indonesia is described by the relation:
E(P) = P – 10000, P ≥10000 where P represents the production (in thousand) of Avocados.
