Question

Which t-chart represents the absolute value equation y = |5x|?

Answer 1

Answer: Choice C

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Explanation:

Choices A, B and D are not true because of the negative y values. The result of an absolute value is never negative. So we can rule out choices A, B, and D. We have choice C as the only thing left, so this must be the answer.

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Another way to see this is by plugging in each x value to see what y value comes out.

• If x = -2, then y = |5*x| = |5*(-2)| = |-10| = 10
• If x = -1, then y = |5*x| = |5*(-1)| = |-5| = 5
• If x = 0, then y = |5*x| = |5*0| = |0| = 0
• If x = 1, then y = |5*x| = |5*1| = |5| = 5
• If x = 2, then y = |5*x| = |5*2| = |10| = 10

The y outputs from top to bottom are: 10, 5, 0, 5, 10

This matches with what choice C shows.