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M1-026-A12-V03
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F-IF.7.e
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M1-026-A12-V03
Graph exponential functions and identify intercepts and end behavior; preview logarithmic and trigonometric graph features.
Classify graph shape as exponential, logarithmic preview, or trigonometric preview
Problem
Classify the graph as exponential, logarithmic-preview, or trigonometric-preview. Support the classification with decisive visual evidence and distinguish it from the other two families.
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A
classification = trigonometric-preview; evidence = periodic repetition with fixed maximum/minimum and bounded range; reject exponential = exponential is nonperiodic with horizontal asymptote; reject logarithmic = logarithmic is nonperiodic with vertical asymptote and restricted domain
B
classification = logarithmic-preview; evidence = fixed maximum and minimum with repeated cycles; reject exponential = exponential is bounded and periodic; reject trigonometric = trigonometric has restricted positive domain
C
classification = trigonometric-preview; evidence = periodic repetition and vertical asymptote; reject exponential = exponential has fixed maximum and minimum; reject logarithmic = logarithmic is bounded and periodic
D
classification = exponential growth; evidence = repeating bounded peaks and troughs; reject logarithmic = logarithmic repeats in cycles; reject trigonometric = trigonometric has horizontal asymptote
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Curriculum context
Standard F-IF.7.e
Category Functions
Domain Interpreting Functions
Objective Graph exponential functions and identify intercepts and end behavior; preview logarithmic and trigonometric graph features.
Problem type Classify graph shape as exponential, logarithmic preview, or trigonometric preview
