Given the function y = -x - 2 and the domain {-5,0,1}, what is the range of the function?

{-3, -2, 3}

Step-by-step explanation:

Subsitute x with the restrictions of the domain numbers into the function.

y = - (-5)-2 = 3

y = - (0)-2 = -2

y = - (1)-2 = -3

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15