Determine Whether the Statement Is True or False

question 82

Multiple Choice

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The function is continuous on .

• A) The function is continuous but zero when , then the function is not continuous in , so the statement is false.
• B) The function is continuous and nonzero on , then the function is continuous in , so the statement is true.

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Definitions:

Absolute Value

The distance of a number from zero on the number line, regardless of direction; denoted by |x|.

Equation

A mathematical declaration that affirms two expressions, usually containing variables, are equal.

Inequality

A mathematical statement that indicates the relationship of less than, greater than, less than or equal to, or greater than or equal to between two values.

Solve

To find the solution or answer to a problem or equation.