Find the coordinates of a second point on the graph of afunction f if the given point is on the graph and the function is(a) even and (b) odd.1) (-3/2,4)2) (4,9)

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polishxcore5z · Accepted Answer

You have two points of the form (x,y).1. (-3/2,4) means that f(x) = f(-3/2) = 42. (4,9) means that f(x) = f(4) = 9If a function f(x) is even then f(-x) = f(x), meaning that if youplug in -x you get y.Example:   f  (  x  )  =      x          2       is even because   f  (  −  x  )  =  (  −  x      )          2        =      x          2      So if a function is even, you can plug in (-x) and you get the sameanswer as when you plugged in x.So in your example if f is even you get the same y value for -3/2as well as positive 3/2.If f(x) is odd the f(-x) = -f(x) meaning that when you plug in -xyou will get -y.