How do you find the range of #y = z^2 - 3z#; given Domain = {-1, 0, 1, 2}?

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Answer 1 · 2016-09-08T14:04:15

#"The Range="{4,0,-2}#.

#y=z^2-3z", and, let "D={-1,0,1,2}#.

By, Range of the given function, we mean, the Set of all values of

#y#, to be determined by using the values of #z# choosing from the

given Domain Set, here, #D#.

Thus, in Notation, the Range#={y=z^2-3z : z in D}#.

Now, #z=-1 rArr y=z^2-3z=(-1)^2-3(-1)=1+3=4#

#z=0 rArr y=0#

#z=1 rArr y=-2#

#z=2 rArr y=-2#

Therefore, #"The Range="{4,0,-2}#.