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Pre-calculus: Math: Uncharted

Courses MathPre-calculus

Pre-calculus

Sharpen every function you own: transform them, undo them, grow them, and follow them to the edge of calculus.

Math
Unit 5 of 7
20 lessons
165 min
420 XP

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Lessons

20 total

1Slide the CurveLocate the anchors created by vertical and horizontal function shifts.InteractiveConcept8 min20 XPOpen
2Stretch and FlipDistinguish vertical stretching from reflection across the horizontal axis.InteractiveConcept8 min20 XPOpen
3Chain Two MachinesCompose two function rules in the correct order.InteractiveConcept8 min20 XPOpen
4Run It BackwardFind the inverse of a linear function by undoing operations in reverse order.InteractiveConcept8 min20 XPOpen
5Transform WorkoutCompose function rules and reverse linear functions fluently.InteractivePractice9 min20 XPOpen
6The Number eRecognize e as the limiting base of increasingly frequent compounding.InteractiveConcept7 min20 XPOpen
7Growth and DecayCompare natural exponential growth and decay on the same axes.InteractiveConcept8 min20 XPOpen
8The Log Asks WhenInterpret common and natural logarithms as exponents that reach exact values.InteractiveConcept8 min20 XPOpen
9Log Rules WorkoutEvaluate logarithms of products, powers, and quotients built from exact values.InteractivePractice9 min20 XPOpen
10Solve for the ExponentSolve exponential equations whose target is an exact integer power.InteractivePractice9 min20 XPOpen
11Double or HalfLocate the first time an exponential series reaches twice its initial value.InteractiveConcept8 min20 XPOpen
12Ends Tell the StoryUse the ends of a polynomial graph to describe its long-run behavior.InteractiveConcept8 min20 XPOpen
13Roots and TouchesLocate distinct roots and recognize how a double root touches the axis.InteractiveConcept8 min20 XPOpen
14The Forbidden InputIdentify an excluded input from a rational function and its vertical asymptote.InteractiveConcept8 min20 XPOpen
15Behavior WorkoutRead end behavior, roots, and excluded inputs from compact function descriptions.InteractivePractice9 min20 XPOpen
16Patterns with RulesUse arithmetic and geometric rules to calculate later sequence terms.InteractiveConcept8 min20 XPOpen
17Sequence WorkoutFind requested terms of arithmetic and geometric sequences.InteractivePractice9 min20 XPOpen
18Add Them All UpRead how the running totals of a geometric series approach a finite limit.InteractiveConcept8 min20 XPOpen
19Closer and CloserCompare function values approaching a missing input from both sides.InteractiveConcept8 min20 XPOpen
20Pre-calculus Mastery CheckCombine transformations, exponential growth, rational behavior, and a series total.InteractiveMastery check9 min40 XPOpen

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