$$\text { Use a graph to find a number } \delta \text { such that } | \sqrt { 4 x + 1 } - 3 | < 0.1 \text { whenever } | x - 2 | < \delta \text {. }$$

question 111

Short Answer

$$\text { Use a graph to find a number } \delta \text { such that } | \sqrt { 4 x + 1 } - 3 | < 0.1 \text { whenever } | x - 2 | < \delta \text {. }$$

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Definitions:

Sample Data

A subset of a population used to estimate or make inferences about the entire population.

Significance Level

The probability of rejecting the null hypothesis in a statistical test when it is actually true, commonly set thresholds include 0.05, 0.01.

Random Sample

A subset of individuals chosen from a larger set, where each individual has an equal chance of being selected.

Confidence Interval

A range of values derived from sample data that is likely to contain the value of an unknown population parameter, with a certain level of confidence.