Mathematical Functions and Ratios Analysis

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Questions and Answers

What value does F(10)/F(9) approximate to?

  • 1.5
  • 1.7 (correct)
  • 1.8
  • 1.6

If F(9) is significantly smaller than F(10), what might this imply about their relationship?

  • F(10) is much larger than F(9) (correct)
  • F(10) and F(9) are equal
  • F(10) is twice as large as F(9)
  • F(10) is greater than F(9) by a small margin

Which value could potentially be closer to the ratio F(10)/F(9) if F(9) were to increase?

  • 1.0
  • 1.9
  • 1.5 (correct)
  • 2.0

If the calculated value of F(10)/F(9) were to decrease, what effect would that have on F(10)?

<p>F(10) would need to decrease (A)</p> Signup and view all the answers

What does an approximate value of 1.7 for F(10)/F(9) suggest about the growth of F as a function?

<p>F is growing at a steady rate (B)</p> Signup and view all the answers

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Study Notes

Approximating the Ratio F(10)/F(9)

  • The ratio F(10)/F(9) approximates a specific value.
  • If F(9) is considerably smaller than F(10), it implies that F(10) is significantly larger than F(9).
  • As F(9) increases, the ratio F(10)/F(9) might get closer to 1.
  • If the calculated value of F(10)/F(9) decreases, it would imply a reduction in the value of F(10).
  • An approximate value of 1.7 for F(10)/F(9) suggests that the function F exhibits exponential growth.

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