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What type of function is f (x)

What type of function is f (x)-example-1
User Sridvijay
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1 Answer

3 votes

Answer:

see below.

Explanation:

f(x) = 5/x

1.a) f(x) is not linear, it should be a hyperbola. Since there are asymptotes , a center point, Foci, etc. but it is not the usual hyperbola s in

y^2/b^2 - x^2/a^2 = 1

b.) asymptotes: x = 0 and y = 0

Vertical Asymptote : x = 0

Horizontal Asymptote: y =0

c.) Domain: (-infinity, 0) U (0, + infinity)

Range : (- infinity, 0 ) U (0, + infinity)

d.) End behavior of f(x) is y = 0 as x gets very large f(x) approaches ZERO

e.) f(x) exists in quadrants 1 and 3 only .

User A Jakhar
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