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Write the formula of the function f(x) whose graph is shown.

Write the formula of the function f(x) whose graph is shown.-example-1
User TimLeary
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1 Answer

9 votes

Answer:


f(x)=(1)/(x+4)

Explanation:

Asymptote: a line which the curve gets infinitely close to, but never touches.

From inspection of the graph, we can see that there is an asymptote at
x=-4, since the curve gets infinitely close to this line, but never touches it.

Therefore, the function is undefined at
x=-4

For a rational function to be undefined, the denominator must equal zero at that point. Therefore, we are looking for a rational function with a denominator that equals zero when
x=-4.

Therefore, option D is the correct solution, since:


f(-4)=(1)/(-4+4)=(1)/(0) \implies \sf und efined

Write the formula of the function f(x) whose graph is shown.-example-1
User Hynner
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