Please help me with percentages.
2 answers:
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Answer:
As
Step-by-step explanation:
Given:
From the graph, we can conclude that:
The function has vertical asymptotes at
The function has horizontal asymptote at
Vertical asymptotes are those values of 'x' for which the functions tends towards infinity. Horizontal asymptote is the value of the function as the 'x' value tends to infinity.
Now, as means the right hand limit of the function at
From the graph, the right hand limit is the right side of the asymptote of the function at . The right side shows that the function is tending towards negative infinity.
Therefore, As
Any number inside the modulus sign becomes positive. This means and so we have,
Solving these gives us
However if we check the second solution in the original equation we obtain . This is false and so
can't be a solution.
Therefore the only solution is .
(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)