Is y a function of x? y = sqrt (x+20).?

Yep, it's horizontal line that starts 20 units up on the y-axis. In fact, I can write y = 20 in terms of x. Watch.

Y = 20(1) ---> y = 20 * (x^1 / x^1) ---> y = 20 * x^(1 - 1) ---> y = 20 * x^(0) It's just that x has no effect on y-coordinate of the function.

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