The range of which function includes –4?

Asked by wiki @ 29/10/2020 in Mathematics viewed by 277 People

Answered by wiki @ 29/10/2020

The range of a function is the set of all values (outputs) assumed by the dependent variable. Thus, according to this statement we can affirm that the correct answer of this question is the equation given by:

$y=\sqrt{x}-5$

So:

$If \ y=-4 \\ \\ Then \ -4=\sqrt{x}-5 \\ \\ \therefore \sqrt{x}=1 \\ \\ \therefore \boxed{x=1}$

Let's find the range of the other functions to contrast this conclusion:

$y=\sqrt{x}+5\to R:y\geq5\\\\y=\sqrt{x+5}\to R:y\geq0\\\\y=\sqrt{x-5}\to R:y\geq0$

So as shown in the figure below the range of this function includes -4

The range of which function includes –4?

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