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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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  2. Consider the graph of y = f(x) as shown in the following figure. ...

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  3. Which of the following functions has (have) y-symmetry or origin symme...

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  4. The graph of functions are given in the following fingure. Discuss the...

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  5. Check weather the following function/functions is/are periodic or not?...

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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. If f:R→R, g:R→R are given by f(x)=(x+1)^2 and g(x)=x^2+1 , then w...

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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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  13. In the following graph, state the absolute and local maximum and mini...

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  14. Prove : ((1+cot^2 A)/(1+tan^2 A​))=((1−cotA)/(1−tanA​))^2=tan^2 A

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  15. Evaluate int(0)^(pi/2)(sinx/(cosx+sinx))dx

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  16. The figure shows the graphs of f, f' and f''. Indentify each curve and...

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  17. Match the graph of y = f(x) in Column I with the corresponding graph ...

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  18. If f(x) is an even function, then f'(x). If in a △ABC, atan A+ btan B=...

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