The problem asks to describe the domain and range of the function represented by the given graph. The graph consists of discrete points.

AlgebraFunctionsDomainRangeDiscrete FunctionsCoordinate Geometry
2025/4/18

1. Problem Description

The problem asks to describe the domain and range of the function represented by the given graph. The graph consists of discrete points.

2. Solution Steps

First, we need to identify the x-coordinates of the points on the graph to determine the domain. The x-coordinates are -3, -2.5, -2, -1.5, -1, -0.5, 0, and 0.

5. So, the domain is the set {-3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5}.

Next, we need to identify the y-coordinates of the points on the graph to determine the range. The y-coordinates are 0, 0.25, 0.5, 0.75, 1, 1.25, 1.5, and 2.
2

5. So, the range is the set {0, 0.25, 0.5, 0.75, 1, 1.25, 1.5, 2.25}.

3. Final Answer

The domain is {-3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5}.
The range is {0, 0.25, 0.5, 0.75, 1, 1.25, 1.5, 2.25}.

Related problems in "Algebra"

Given two complex numbers $Z_a = 1 + \sqrt{3}i$ and $Z_b = 2 - 2i$, we are asked to: I. Convert $Z_a...

Complex NumbersPolar FormDe Moivre's TheoremComplex Number MultiplicationComplex Number DivisionRoots of Complex Numbers
2025/6/27

The problem involves complex numbers. Given $z_1 = 5 + 2i$, $z_2 = 7 + yi$, and $z_3 = x - 4i$, we n...

Complex NumbersComplex Number ArithmeticComplex ConjugateSquare Root of Complex Number
2025/6/27

The problem asks us to find the range of values for the constant $a$ such that the equation $4^x - a...

Quadratic EquationsInequalitiesExponentsRoots of EquationsDiscriminant
2025/6/27

Given $A = \{1, 2\}$ and $B = \mathbb{R}$, we need to sketch the graph of $R = A \times B$. We need ...

SetsRelationsFunctionsCartesian ProductGraphs
2025/6/27

Solve the equation $ \lceil x^2 - x \rceil = x + 3 $ for $x \in \mathbb{R}$, where $ \lceil x \rceil...

Ceiling FunctionQuadratic EquationsInteger Solutions
2025/6/27

A lemming runs from point A to a cliff at B at 4 m/s, jumps over the edge and falls to point C at an...

Word ProblemLinear EquationsDistance, Speed, and Time
2025/6/27

Given three matrices $X$, $Y$, and $Z$ as follows: $X = \begin{bmatrix} 5 & 4 & -7 \\ -3 & p & 5 \en...

MatricesMatrix TransposeMatrix MultiplicationMatrix Addition
2025/6/27

We have two problems to solve. Problem 6: A man is 32 years older than his son. Ten years ago, the m...

Word ProblemsSystems of EquationsLinear EquationsRate ProblemsDistance, Rate, and Time
2025/6/26

We are given two systems of equations to solve. System 1: $3m - n = 5$ $2m + 5n = 7$ System 2: $5c -...

Systems of EquationsLinear EquationsSubstitution
2025/6/26

We are given 8 problems. Let's solve them one by one. Problem 1: A man receives a total of $17800$ o...

Linear EquationsWord ProblemsRatio and ProportionGeometryQuadratic EquationsDistance, Rate, and Time
2025/6/26