The table shows selected values from function f. Which of the following is the best description of function f ?

Correct answer: B. Increasing linear

  • A. Decreasing linear
  • B. Increasing linear
  • C. Decreasing exponential
  • D. Increasing exponential

Explanation

The correct answer is Option B: Increasing linear. In a table where function f is described as increasing linear, each increase in input leads to a consistent increase in output values, demonstrating a constant rate of change. This is characteristic of linear functions. Option A, decreasing linear, would imply a consistent decrease, which is not observed in the table. Option C, decreasing exponential, would show rapid initial decreases, which does not fit if the table shows consistent increases. Option D, increasing exponential, would show slow initial increases followed by rapid increases, which would not match a constant rate of increase shown in a linear function.

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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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