Question

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

Answer 1

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`.