What is the rate of change of the function
-2
-1/2
1/2
2

-2

Step-by-step explanation:

You can calculate the rate of the change of the function by calculating the slope which is rise/run. You can do this by starting at (0,1) and going down until the next point lines up on the graph and then going over until you reach the point. You go down two and over to the right one. When going down or left this makes the number negative. In this case -2/1 = -2.

The answer is  (A)                                  

Step-by-step explanation:

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

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