Respuesta :
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 :
⇒ [tex]\sqrt{x} -5[/tex]
At x=1 , we have
⇒ [tex]\sqrt{1} -5[/tex]
⇒ [tex]-4[/tex]
Hence , This function range includes -4 .
y = StartRoot x EndRoot + 5
Equation is :
⇒ [tex]\sqrt{x} +5[/tex]
We know that [tex]\sqrt{x} \geq 0[/tex] for every value of x , Hence minimum value of this function is :
⇒ [tex]\sqrt{0} +5 = 5[/tex]
Hence , This function range doesn't includes -4
y = StartRoot x + 5 EndRoot
Equation is :
⇒ [tex]\sqrt{x+5}[/tex]
We know that [tex]\sqrt{x+5} \geq 0[/tex] for every value of x , Hence minimum value of this function is :
⇒ [tex]0[/tex]
Hence , This function range doesn't includes -4
y = StartRoot x minus 5 EndRoot
Equation is :
⇒ [tex]\sqrt{x-5}[/tex]
We know that [tex]\sqrt{x-5} \geq 0[/tex] for every value of x , Hence minimum value of this function is :
⇒ [tex]0[/tex]
Hence , This function range doesn't includes -4.
