How do you read a graph that has horizontal asymptotes without using a calculator? :(

Question

anonymous · Answer

attachment

anonymous · Answer

I have to match the 6 equations at the bottom with the 6 graphs shown

skullpatrol · Answer

Any ideas?

anonymous · Answer

I matched up #3 and #5 but I'm not sure about the other four functions

skullpatrol · Answer

How did you match them up?

anonymous · Answer

By looking at the degrees of the numerator and the denominator

anonymous · Answer

but the other problems have square roots and sin

skullpatrol · Answer

What was it about the degrees?

anonymous · Answer

If the degree of the numerator is less than the denominator; the x-axis is a horizontal asymptote (y=0)

anonymous · Answer

If the degrees are equal, the horizontal asymptote can be found by dividing the leading coefficients

anonymous · Answer

If the degree of the numerator is greater than the denominator, there is no horizontal asymptote

skullpatrol · Answer

What creates an asymptote?

anonymous · Answer

I'm not sure

skullpatrol · Answer

https://www.youtube.com/watch?v=2N62v_63SBo

goformit100 · Answer

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