Which graph depicts this function

Algebra Level 2

If f ( x ) = x f(x) = \sqrt x then which of the graphs below depicts y = f ( x ) y= f(x) .

Option A

Option B

Option C

B None of the above C A

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1 solution

Srinivasa Gopal
Jul 25, 2018

F(X) = sqrt(X) has + both positive and negative values of F(x) for all X >= 0. For example sqrt(4) has two values + 2 and -2. Option A is plotted for only positive values of sqrt(x). Option C is plotted for negative values of x for which f(x) is not defined. So Option B is the correct choice.

Actually, option A is the correct choice, since x \sqrt x can never be negative.

Parth Sankhe - 2 years, 6 months ago

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