Question

answer attempt 1 out of 5
the graph above is a set of discrete points. its domain can best be des
as a subset of the real numbers. for every unit that x increases, the y-
grows or declines by repeated. as a result, the graph can b
said to represent

Explanation:

Step1: Analyze the graph type

The graph shows individual points, not a connected line or curve, so it's a set of discrete points.

Step2: Determine the domain's subset

The x - values (domain) are real numbers since they are on a number line with real - number markings.

Step3: Analyze the y - value change

Looking at the points, as x increases by 1 unit, the y - value seems to increase by a constant amount (since the points are in a linear - like discrete pattern). So for every unit x increases, the y - value grows by a repeated constant amount.

Step4: Identify the function type

Since the y - value changes by a constant amount as x increases by 1, and the graph is discrete, this represents a linear function (in discrete form, like an arithmetic sequence which is a type of linear relationship for discrete data).

Answer:

The graph above is a $\boldsymbol{\text{set of discrete points}}$. Its domain can best be described as a subset of the $\boldsymbol{\text{real numbers}}$. For every unit that $x$ increases, the $y$-value grows or declines by repeated $\boldsymbol{\text{constant amount}}$. As a result, the graph can be said to represent $\boldsymbol{\text{a linear function (discrete)}}$.