Question

Help! Everyone keeps trolling me!

Below is the graph of equation y=−|x−2|+2. Use this graph to find all values of x such that

1. y > 0

2. y < 0

3. y = 0


Please add a real answer!

Thx so much for helping!

Answer 1

9514 1404 393

Answer:

1. 0 < x < 4
2. (- ∞ < x < 0) ∪ (4 < x < ∞)
3. x ∈ {0, 4}

Explanation:

1. The solution is the set of x-values for which the graph is above the x-axis, where y = 0. Those x-values are in the interval (0, 4).

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2. The solution is the set of x-values for which the graph is below the x-axis. Those x-values are in either of the two intervals (-∞, 0) or (4, ∞).

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3. The x-intercepts of the graph are x=0 or x=4.