Question

Below is the graph of equation y=− |x−2| +2. Use this graph to find all values of x such that y>0

Answer 1

Answer:

Value of y > 0 at $x = \{0, 1, 2, 3, 4\}$

Step-by-step explanation:

As seen from the graph attached in answer area as well, The graph is above  x-axis (i.e. y value of equation) only when x has values {0, 1, 2, 3, 4}.

At x = 0:

$y = -|0-2| + 2 \\\Rightarrow -2 + 2\\ \Rightarrow y = 0$

At x = 1:

$y = -|0-1| + 2 \\\Rightarrow -1 + 2\\ \Rightarrow y = 1$

At x = 2:

$y = -|2-2| + 2 \\\Rightarrow 0 + 2\\ \Rightarrow y = 2$

At x = 3:

$y = -|3-2| + 2 \\\Rightarrow -1 + 2\\ \Rightarrow y = 1$

At x = 4:

$y = -|4-2| + 2 \\\Rightarrow -2 + 2\\ \Rightarrow y = 0$

Value of y > 0 at $x = \{0, 1, 2, 3, 4\}$