if anybody can explain this to me i will appreciate you so much...as i am doing practice problems to help me prepare for my exam tomorrow :(
why does this have a range of \((-\infty,4)\),,, i said it has a range of \((-\infty,\infty)\)
and why does this have a range of \((-\infty,\infty) \) and not a range of \((-\infty,4]\)
#1 I think you are right.(The arrow points down towards 5 and going to negative direction, what makes it stop at 4?So I think you are right)
#2 Well the arrows are going into infinitly directions, arrow on the right is raising up towards 10(x-axis) then will contuine forever rising through the y-axisso it is +infinity
The left arrow is going down so it is negative infinity.
The range is the y values, The highest y value (not actually included) is 4. The curled brackets indicates that neither infinity or 4 are actually included.
hene the range is (-infinity, 4)
The arrows are suppose to indicate the direction that the graph will take from that point on.
Hence on the left it goes down for ever and on the right it goes up forever.
Hence the range is (-infinity, +infinity.)