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M1-026-A12-V04
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F-IF.7.e
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M1-026-A12-V04
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.
Answer choices
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A
classification = trigonometric-preview; evidence = vertical shift 3, bounded range, and repeated cycles; reject exponential = exponential has no asymptote; reject logarithmic = logarithmic is periodic
B
classification = exponential growth; evidence = increasing values below y=3 with range (-∞,3); reject logarithmic = logarithmic has horizontal asymptote; reject trigonometric = trigonometric is unbounded
C
classification = logarithmic-preview; evidence = decreasing graph approaching x=3 with positive-only domain; reject exponential = exponential has vertical asymptote; reject trigonometric = trigonometric has all-real range
D
classification = exponential decay; evidence = y-intercept (0,5), decreasing behavior, all-real domain, and horizontal asymptote y=3 approached from above; reject logarithmic = logarithmic has restricted domain and vertical asymptote; reject trigonometric = trigonometric is periodic and bounded
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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
