Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem provides a table of $x$ and $y$ values representing a linear relation. We are asked to d...

Linear EquationsSlopeY-interceptCoordinate Geometry
2025/7/3

The problem asks us to find the domain of the function represented by the graph, and express the dom...

DomainFunctionsInterval NotationGraph AnalysisParabola
2025/7/3

The problem asks us to evaluate the function $f(x) = 2x^2 + x + 2$ at $x = -2$. In other words, we n...

FunctionsPolynomialsEvaluation
2025/7/3

The problem asks us to evaluate the function $f(x) = 8x - 6$ for different values and expressions: $...

FunctionsFunction EvaluationLinear Functions
2025/7/3

The problem asks to determine the domain and range of a relation given in a table and to determine i...

RelationsFunctionsDomainRangeSets
2025/7/3

We are given the graph of a function $g(x)$ and are asked to find specific values of the function, b...

Function AnalysisGraph InterpretationFunction Evaluation
2025/7/3

The problem asks us to find the domain and range of a relation given in a table and determine if the...

FunctionsDomainRangeRelations
2025/7/3

The graph of a function $f(x)$ is given. We are asked to evaluate $f(-2)$ from the graph.

Function EvaluationGraphing
2025/7/3

We are given three tables of values for three functions, $f(x)$, $g(x)$, and $h(x)$. We need to dete...

FunctionsFunction DefinitionDomain and Range
2025/7/3

The problem asks us to evaluate the function $f(x)$ at $x=4$ using the provided graph, and also to f...

Function EvaluationGraph Interpretation
2025/7/3