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Question

The function $f(x)$ is plotted against $x$ as shown. Extrapolate and find the value of the function at $x = -1$.

The correct answer is
0.01

To solve this problem, we need to extrapolate the given function based on the graph shown. The task is to find the value of the function \( f(x) \) at \( x = -1 \).

Let's analyze the graph:

  1. The graph plots the function \( f(x) \) against \( x \).
  2. From the visual depiction, it looks like a linear function on a logarithmic scale, where both axes are logs. This suggests an exponential relationship.
  3. Observing the trend, the function seems to be growing linearly in this logarithmic plot, indicating an exponential increase in the arithmetic scale.

To find \( f(x) \) at \( x = -1 \), we can extend the linear trend back to this value. Based on options and the pattern observed:

  • If \( f(x) \) approximately reaches a small positive value near zero, we estimate it would reach around 0.01 when \( x = -1 \) in the arithmetic scale.

Thus, the correct extrapolated value for \( f(x) \) at \( x = -1 \) is 0.01.

The correct answer is 0.01.

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Important Questions from Data Interpetation (Notes)

  1. The population of a town over the years 2000-2007 is shown in the given figure.

    It can be inferred that during 2000-2007,

  2. The areas (in km²) under forests in four countries A, B, C and D for the years 2014 and 2024 are shown in the given bar chart:

    The minimum percentage of deforestation during 2014-2024 was in country

  3. Find the average amount collected from the sales of Bengali dishes, Punjabi dishes and Gujarati dishes.
  4. The amount collected by selling Chinese dishes is approximately what percentage more than the amount collected by selling Bengali dishes?
  5. The number of questions asked in shift I from the topic Profit-Loss is what percent more than the number of questions asked in shift II from the topic Average?
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