Question

The range of which function includes –4?

Answer 1

Answer: A

Step-by-step explanation: nO cAp

Answer 2

Correct option A) y = StartRoot x EndRoot minus 5

Step-by-step explanation:

Here we have , to find which of the following function includes range -4 ! Let's find out range for each function :

y = StartRoot x EndRoot minus 5

Equation is given as :

⇒ $\sqrt{x} -5$

At x=1 , we have

⇒ $\sqrt{1} -5$

⇒ $-4$

Hence , This function range includes -4 .

y = StartRoot x EndRoot + 5

Equation is :

⇒ $\sqrt{x} +5$

We know that $\sqrt{x} \geq 0$ for every value of x , Hence minimum value of this function is :

⇒ $\sqrt{0} +5 = 5$

Hence , This  function range doesn't includes -4

y = StartRoot x + 5 EndRoot

Equation is :

⇒ $\sqrt{x+5}$

We know that $\sqrt{x+5} \geq 0$ for every value of x , Hence minimum value of this function is :

⇒ $0$

Hence , This  function range doesn't includes -4

y = StartRoot x minus 5 EndRoot

Equation is :

⇒ $\sqrt{x-5}$

We know that $\sqrt{x-5} \geq 0$ for every value of x , Hence minimum value of this function is :

⇒ $0$

Hence , This  function range doesn't includes -4.