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Home > CC3 > Chapter Ch8 > Lesson 8.3.1 > Problem 8-124

8-124.

Find the corresponding inputs or outputs for the following relationships. If there is no solution, explain why not. Be careful: In some cases, there may be no solution or more than one possible solution.

  1. Function Machine. Input: X = 8, Rule: Y equals, absolute value of  X. Output: Y equals question mark.

    What is the absolute value of ?

  1. Function Machine. Input: X = question mark, Rule: Y equals, 3, minus the absolute value of X. Output: Y equals 2.

    Solve the equation by inspection.

  1. Function Machine. Input: K = negative 6, Rule: y equals, K divided by 2, plus 1. Output: y equals question mark.

    Substitute and evaluate.

  1. Function Machine. Input: X = 3, Rule: Y equals, negative X squared. Output: Y equals question mark.

What is squared?