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M1-026-A12-V02
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F-IF.7.e
Warmup
M1-026-A12-V02
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 = exponential growth; evidence = increasing graph with positive-only domain and vertical asymptote x=0; reject logarithmic = logarithmic has all-real domain and horizontal asymptote; reject trigonometric = trigonometric must decrease
B
classification = trigonometric-preview; evidence = positive-only domain and slow increase without repetition; reject exponential = exponential has vertical asymptote; reject logarithmic = logarithmic is bounded and periodic
C
classification = logarithmic-preview; evidence = positive-only domain, vertical asymptote x=0, all-real range, slow nonperiodic increase, and no y-intercept; reject exponential = exponential has all-real domain and horizontal asymptote; reject trigonometric = trigonometric repeats and has no asymptote
D
classification = logarithmic-preview; evidence = all-real domain, horizontal asymptote y=0, and y-intercept; reject exponential = exponential has restricted domain; reject trigonometric = trigonometric has a vertical 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
