Question

part i: vocabulary
____1. function\t\t__6. mapping\t\t____11. relation
____2. ordered pair\t\t__7. discrete graph\t\t____12. arithmetic sequence
____3. origin\t\t__8. continuous graph\t\t____13. range
____4. domain\t\t__9. quadrants\t\t____14. zeros
____5. vertical line test\t\t__10. function notation\t\t____15. coordinate plane

a. a graph consisting of distinct points
b. a set of numbers or coordinates used to locate any point on a coordinate plane, written in the form (x, y).
c. graphically, the point(s) at which a graph intersects the x - axis. algebraically, the value(s) for which f(x) = 0.
d. four regions into which the x - and y - axes separate the coordinate plane.
e. a set of ordered pairs.
f. a relation in which each element of the domain is paired with exactly one element of the range. this is typically generated by some equation or rule.
g. the set of all first coordinates (or x - values) of a relation or function.
h. a numerical pattern in which there is a constant difference between terms.
i. a plane divided into four regions by horizontal and vertical number lines that is used for graphing.
j. given a graph, this test is used to determine whether the relation is a function.
k. a graph consisting of connected lines or curves.
l. the point at which the x - and y - axis intersect on the coordinate plane.
m. the set of all second coordinates (or y - values) of a relation or function.
n. a way of renaming an equation by replacing y with f(x).
o. illustrates how each element of the domain is paired with an element in the range.

Explanation:

Step 1: Analyze each term and option

• 1. Function: A function is a relation where each domain element has exactly one range element (matches F).
• 2. Ordered Pair: An ordered pair is (x, y) for locating points (matches B).
• 3. Origin: The intersection of x - y axes (matches L).
• 4. Domain: Set of all first (x) coordinates (matches G).
• 5. Vertical line Test: Used to check if a relation is a function (matches J).
• 6. Mapping: Shows domain - range pairing (matches O).
• 7. Discrete Graph: Consists of distinct points (matches A).
• 8. Continuous Graph: Has connected lines/curves (matches K).
• 9. Quadrants: Four regions of coordinate plane (matches D).
• 10. Function Notation: Replaces y with f(x) (matches N).
• 11. Relation: A set of ordered pairs (matches E).
• 12. Arithmetic Sequence: Constant difference between terms (matches H).
• 13. Range: Set of all second (y) coordinates (matches M).
• 14. Zeros: x - intercepts (f(x)=0) (matches C).
• 15. Coordinate Plane: Plane for graphing with four regions (matches I).

Answer:

1. F. A relation in which each element of the domain is paired with exactly one element of the range. This is typically generated by some equation or rule.
2. B. A set of numbers or coordinates used to locate any point on a coordinate plane, written in the form (x, y).
3. L. The point at which the x - and y - axis intersect on the coordinate plane.
4. G. The set of all first coordinates (or x - values) of a relation or function.
5. J. Given a graph, this test is used to determine whether the relation is a function.
6. O. Illustrates how each element of the domain is paired with an element in the range.
7. A. A graph consisting of distinct points
8. K. A graph consisting of connected lines or curves.
9. D. Four regions into which the x - and y - axes separate the coordinate plane.
10. N. A way of renaming an equation by replacing y with f(x).
11. E. A set of ordered pairs.
12. H. A numerical pattern in which there is a constant difference between terms.
13. M. The set of all second coordinates (or y - values) of a relation or function.
14. C. Graphically, the point(s) at which a graph intersects the x - axis. Algebraically, the value(s) for which f(x)=0.
15. I. A plane divided into four regions by horizontal and vertical number lines that is used for graphing.