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function-grid
Functions and Graphs
Connect algebraic rules to graph behavior, domain, range, intercepts, and intervals.
Topic roadmap
Course outline · Function Universe
Precalculus
Functions, transformations, trig, vectors, polar coordinates, parametric equations, and limits preview.
This page is a topic roadmap with links to existing practice. Full course videos and connected course progress are not available. Read complete written lessons in Learn.
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15
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3
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0
Linked game paths
5
2
transform
Transformations of Functions
Predict shifts, stretches, reflections, and combinations before graphing.
Topic roadmap
3
polynomial
Polynomial Functions
Analyze zeros, multiplicity, end behavior, and turning points.
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4
asymptote
Rational Functions
Find asymptotes, holes, restrictions, and graph behavior.
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5
growth-curve
Exponential Functions
Model repeated growth and decay with equations and graphs.
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6
log-scale
Logarithmic Functions
Use inverse thinking to solve logs and interpret log graphs.
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7
wave
Trigonometric Functions
Graph sine, cosine, tangent, and interpret key features.
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8
unit-circle
Unit Circle
Connect angles, coordinates, radians, and exact trig values.
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9
identity
Trigonometric Identities
Use identities to rewrite expressions and solve equations.
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10
triangle
Law of Sines and Cosines
Solve non-right triangles with side-angle relationships.
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11
sequence
Sequences and Series
Model arithmetic and geometric patterns and sums.
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12
vector
Vectors
Use components, magnitude, direction, and dot product intuition.
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13
polar
Polar Coordinates
Represent points and curves using radius and angle.
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14
parametric
Parametric Equations
Describe motion and curves with x and y as functions of a parameter.
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15
limit
Limits Preview
Preview the central idea of approaching a value before Calculus I.
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