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(a) Can the graph of the function inters...

(a) Can the graph of the function intersect the horizontal asymptote?
(b) Can the graph of the function intersect the vertical asymptote?

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(a) Yes. See the following graph for illustration.

(b) No. If the fraph of the curve intersects the vertical asymptote, then it is not a function as it fails the vertical line test.
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CENGAGE-GETTING STARTED WITH GRAPHS-Exercise
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  6. Suppose that f is even, periodic function with period 2, and that f(x)...

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  7. The graph of y = f(x) is as shown in the following figure. Find t...

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  8. The graph of f is shown. State, with reason, the numbers at which f is...

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  9. The graph of f is given. State the equations of all the asymptotes.

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  10. (a) Can the graph of the function intersect the horizontal asymptote? ...

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  11. The graph of y = f(x) is given with six labelled points. Anser the fol...

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  12. Graph of functions are given in the following figure. Check the funct...

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  14. The graph of the derivative f'(x) is given in the following figure. ...

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