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

Question

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HnNO/ZSW8RXkjZbQXNU3qcOXeL+MeOHVuLf//+/dWWec17VtJbhRdSLoYVNE/pcebe3fRBrHOa92ykR4QXUi6GFTRP6XGW0B0Tf07znoX0qPBCysWwguYpPc5SurX4c7pi7uTSf/jhh7DwQsrFsILmKT3OkrpF/FdeeaW8r+W6ifKR7Cgp5z3pqbXyVlwQ4O23345+TddY4mmeYc6xbX3HEuedYiytW075ntsVcyfb08c+jgjB871PMW8hzNvDEuctbGK3vH03pyvmTiJ9XXjZ23tIuRhW0Dylx1lq95yumDu69HoPP2a3ZqpuSo+z5O4HDx6Uh5MH8eXY/b6knPeo0see0o/VHWOqbkqPs/RuOZw8iC8n6/QVP+W8R5M+JrwwRncTU3VTepwcuhHxU857FOmbhBeG7m5jqm5Kj5NLt4h//vz53uKn7B5cennvvUl4YcjuLqbqpvQ4uXUHP7a2tsqD1JpI2T2o9GFCcvDN1atXV7c+ylDdfZiqm9Lj5Nhd96RJ/JTdg0nfZyLCEN19maqb0uPk2t3lS8ruQaTvK7yQutvCVN2UHifn7p2dnbU3169fX91akbI7ufQW4YWU3Vam6qb0OLl3D/Eul84mld4qvJCqG2GqbkqPswndMfFTdieTHhFeSNGNMlU3pcfZlG4tfsruJNKHs+Wswgve7pSLYQXNU3qcTeqW3+vFKXms7O7urm61o7uTnFor15M7depUea2v2PYhxxJP8wzSx7b1HUucd4qxad3i1Ouvv14evBPbjoxkT+9RNrGbe3ocdtvRWUrvAM1Tehx229FZSu8AzVN6HHbb0VlK7wDNU3ocdtvRWUrvAM1Tehx229FZSu8AzVN6HHbb0VlK7wDNU3ocdtvRWUrvAM1Tehx229FZSu8AzVN6HHbb0VlK7wDNU3ocdtvRWUrvAM1Tehx229FZSu8AzVN6HHbb0VlK7wDNU3ocdtvRWUrvAM1Tehx229HZSa9am2IssTtIH9vWd3DNxx+5dHNP7wDNc0+Pw247OkvpHaB5So/DbjuPZoviX35UvORm8TDwAAAAAElFTkSuQmCC

Answer 1

y = -(absolute value of (x-2)) +2

find where y=0 first

y=0 when x=4 or 0

now figure out which side of those values you need for Y>0 or Y,<0

for x>4 or x<0, y<0

for 0<x<4 y>0

for y>0, x is in the interval (0,4)

for y<0 x is in the intervals (-inf,0)U(4,+inf)

the graph is an inverted "V", an upside down "V" two lines intersecting

at (2, 2), the maximum point or "vertex" y is positive, 0<y<2 when 0<x<4

otherwise y <0 for all other x values