Maths

[marble swan]

Hi! I need help with taks 8 (b).
Wouldn't the range be all the possible y-values except the y-value of the horizontal asymptote?
Thanks in advance!

[stuck rivet]

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[prisma pivot]

No, it isn't

The fact that there is an horizontal asymptote doesnt mean its the only rejected value

[prisma kettle]

No. In fact, what happens at the vertical asymptote?

[winged fiber]

Or sometimes it isn't even excluded at all: consider f(x) = (x^2 - 1)/x^3.

Though, I'm unsure about the initial question, since that function doesn't have a horizontal asymptote.

[prisma pivot]

Indeed

Its a little weird, that's not how one is supposed to determine the codomain

[marble swan]

ohh okei

[marble swan]

how so?

[winged fiber]

Well, usually you try to find extrema and analyze the behavior at infinity (or at the boundary of the domain).

[hidden iris]

@marble swan

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