The graph shows the absolute value parent function.Which statement best describes the function?A.The function is increasing when x > 0.B.The function is never increasing.C.The function is increasing when x < 0.D.The function is always increasing.SUBMITarrow_backPREVIOUS
Question
The graph shows the absolute value parent function.Which statement best describes the function?A.The function is increasing when x > 0.B.The function is never increasing.C.The function is increasing when x < 0.D.The function is always increasing.SUBMITarrow_backPREVIOUS
Solution
The correct answer is A. The function is increasing when x > 0.
Here's why:
The absolute value parent function is defined as f(x) = |x|. This function creates a V-shaped graph that opens upwards.
For x < 0, the function is decreasing because as x becomes more negative, the output (or y-value) also becomes more negative.
However, for x > 0, the function is increasing. As x becomes more positive, the output (or y-value) also becomes more positive.
Therefore, the statement "The function is increasing when x > 0" best describes the absolute value parent function.
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