Question

The range of which function includes –4?

y = StartRoot x EndRoot minus 5
y = StartRoot x EndRoot + 5
y = StartRoot x + 5 EndRoot
y = StartRoot x minus 5 EndRoot

Answer 1

Answer: A

Step-by-step explanation: nO cAp

Answer 2

Correct option A) y = StartRoot x EndRoot minus 5

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 :

⇒
`√(x) -5`

At x=1 , we have

⇒
`√(1) -5`

⇒
`-4`

Hence , This function range includes -4 .

y = StartRoot x EndRoot + 5

Equation is :

⇒
`√(x) +5`

We know that
`√(x) \geq 0` for every value of x , Hence minimum value of this function is :

⇒
`√(0) +5 = 5`

Hence , This function range doesn't includes -4

y = StartRoot x + 5 EndRoot

Equation is :

⇒
`√(x+5)`

We know that
`√(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 :

⇒
`√(x-5)`

We know that
`√(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.