Algebra 1 · Topic guide
Functions — Algebra 1
Evaluate and compare functions, understand domain and range, and interpret key features of linear, quadratic, and other function models.
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What you’ll learn
- Graph absolute-value functions.
- Model arithmetic sequences.
- Compute the average rate of change over the specified interval.
- Compare functions represented by graph/table/equation.
Explore the skills
Choose an idea below to read a worked example and try one question.
- Graph absolute-value functionsGraph absolute-value functions.
- Model arithmetic sequencesModel arithmetic sequences.
- Calculate average rate of changeCompute the average rate of change over the specified interval.
- Compare functions represented by graph/table/equationCompare functions represented by graph/table/equation.
- Determine domain and rangeDetermine domain and range.
- Convert simple sequence descriptionsConvert simple sequence descriptions.
- Model exponential decayModel exponential decay.
- Understand exponential functionsUnderstand exponential functions.
- Model exponential growthModel exponential growth.
- Formal function definitionFormal function definition.
- Evaluate f(x)Evaluate the function at the given input. Enter the exact value.
- Model geometric sequencesModel geometric sequences.
- Identify intercepts, intervals, maxima/minimaIdentify intercepts, intervals, maxima/minima.
- Graph linear equations in standard formGraph linear equations in standard form.
- Distinguish linear and exponential modelsDistinguish linear and exponential models.
- Write equations of parallel linesWrite equations of parallel lines.
- Write equations of perpendicular linesWrite equations of perpendicular lines.
- Use point-slope formUse point-slope form.
- Find axis of symmetryFind axis of symmetry.
- Connect standard, vertex and factored formsConnect standard, vertex and factored forms.
- Graph quadratic functionsGraph quadratic functions.
- Find quadratic interceptsFind quadratic intercepts.
- Find and interpret vertexFind and interpret vertex.
- Understand sequences as functionsUnderstand sequences as functions.
- Graph y = mx + bGraph y = mx + b.
- Understand f(x−h)Understand f(x−h).
- Understand af(x)Understand af(x).
- Understand f(x)+kUnderstand f(x)+k.
- Write line from point and slopeWrite line from point and slope.
- Write linear function from two pointsWrite linear function from two points.