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MA.912.AR.5.4 · Non-linear Relationships

Writing an Exponential Function from a Graph, Table, or Description: Sample Algebra 1 EOC Questions

Students write an exponential function from data: the initial value gives a, and the constant ratio between successive outputs gives b. Populations, depreciation, and half-life situations are the standard contexts.

How the Algebra 1 EOC tests this benchmark

Tables use successive non-negative integer inputs, so the ratio of consecutive outputs is the intended path to the base. Answer options are restricted to the locked exponential forms, which means a decimal base outside those forms is always a distractor. Equation editor items accept any equivalent function.

Skills students need

  • Find the initial value from a table or graph
  • Compute the constant ratio between outputs
  • Write the function in a b to the x form
  • Write the function in a percent-rate form

Try 6 real MA.912.AR.5.4 questions

These come straight from Algebro's Algebra 1 question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

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Question 1EasyMultiple Choice
Figure: a coordinate plane from x = -5 to 5 and y = -3 to 16, showing the points (0, 7), (1, 14) and an exponential curve.
The graph shows an exponential function ff passing through the points (0,7)(0, 7) and (1,14)(1, 14). Which equation defines ff?

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More Algebra 1 non-linear relationships benchmarks

MA.912.AR.5.6

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Simple and Compound Interest

MA.912.AR.1.3

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MA.912.AR.5.4: Writing Exponentials Practice | Algebro