A Function F Is Continuous at the Point If

question 48

Multiple Choice

A function f is continuous at the point if the following conditions are satisfied. ​
1) is defined.
2) exists.
3) .
​
Determine the values of x, if any, at which the function is discontinuous. At each point of discontinuity, state the condition(s) for continuity that are violated.
​ ​ ​ ​

• A) ; conditions 1, 2
• B) ; conditions 1, 2
• C) ; condition 3
• D) ; condition 2
• E) Continuous everywhere

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Definitions:

Z-scores

A measure of how many standard deviations an element is from the mean. It is used in statistics to identify how unusual or typical a data point is.

Standard Normal Distribution

A normal distribution with a mean of zero and a standard deviation of one, used as a basis for comparing other normal distributions.

Less Than

A mathematical relation indicating that one quantity is smaller than another.

Z-scores

A statistical measurement of how many standard deviations an element is from the mean of its population.