Can someone check my answer please? Find the corresponding y values for x= -2,-1,0,1,2,3 if y= x^-x-2. My answers are under Y.

X Y
-2 -4
-1 -2
0 -2
1 0
2 4
3 10

Is your equation y = x^(-x-2)? You don't have any parentheses.

I don't have any parentheses

Your equation is unclear. Could you re-type it with the necessary parentheses and spacing?

To verify if your answers are correct, we need to evaluate the given function for each value of x and compare the results with your answers under Y.

The given function is:

y = x^(-x) - 2

To find the corresponding values of y for each x, we substitute each x value into the function and simplify.

For x = -2:
y = (-2)^(-(-2)) - 2
= (-2)^(2) - 2
= 4 - 2
= 2

For x = -1:
y = (-1)^(-(-1)) - 2
= (-1)^(1) - 2
= -1 - 2
= -3

For x = 0:
y = (0)^(-(0)) - 2
= 0 - 2
= -2

For x = 1:
y = (1)^(-(1)) - 2
= 1 - 2
= -1

For x = 2:
y = (2)^(-(2)) - 2
= (2)^(2) - 2
= 4 - 2
= 2

For x = 3:
y = (3)^(-(3)) - 2
= (3)^(-3) - 2
= 1/27 - 2
= -53/27

Comparing these results with your answers under Y:

X Y | X Y
-2 -4 | -2 -4 (Your answer is incorrect)
-1 -2 | -1 -2 (Your answer is correct)
0 -2 | 0 -2 (Your answer is correct)
1 0 | 1 0 (Your answer is correct)
2 4 | 2 4 (Your answer is correct)
3 10 | 3 -53/27 (Your answer is incorrect)

As we can see, there are two incorrect answers:
- For x = -2, the correct value of y is 2, not -4.
- For x = 3, the correct value of y is -53/27, not 10.

Please review those values and recalculate them accordingly.