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Example Question #14 : How To Find Absolute Value
Solve for all possible values of x.
Possible Answers:
Correct answer:
Explanation:
When solving for x in the presence of absolute value, there are always two answers.
To eliminate the absolute value, the equation must be re-written two ways:
and
and
and
and
and
Example Question #3 : Absolute Value
Define an operation as follows:
For all real numbers ,
Evaluate
Possible Answers:
Both and
Correct answer:
Explanation:
Example Question #21 : How To Find Absolute Value
If , what is the value of ?
Possible Answers:
Correct answer:
Explanation:
Substitute – 4 in for x. Remember that when a negative number is raised to the third power, it is negative. - = – 64. – 64 – 36 = – 100. Since you are asked to take the absolute value of – 100 the final value of f(-4) = 100. The absolute value of any number is positive.
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