How do you find the domain and range for #y = -.566021616 (x - 6) ^2 + 3.7#?

1 Answer
Ernest Z.
Sep 2, 2015

See below.

Explanation:

#y = -0.566021616(x-6)^6 +3.7#

#x# can take any value, so the domain is all real numbers.

When #x=6#, #(x-6)^6=0#, and #y = 3.7#.

When #x ≠ 6#, #(x-6)^6# is a positive number, and #-0.566021616(x-6)^6# is a negative number.

So #3.7# is the maximum value of # y = -0.566021616(x-6)^6 +3.7#.

The range is all real numbers less than or equal to #3.7#.

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