I've just begun to study Exponential functions: When you make a table starting with:
-2 -4^x What are my coordinates?
-1
0
1
2
To find the coordinates for each value of x in the table, we need to substitute the given values of x into the expression -4^x and calculate the corresponding y-values.
Let's substitute each value of x into the equation -4^x to find the y-values:
For x = -2:
y = -4^(-2) = -4^-2 = -1/16
So, the coordinates for x = -2 are (-2, -1/16).
For x = -1:
y = -4^(-1) = -1/4
So, the coordinates for x = -1 are (-1, -1/4).
For x = 0:
y = -4^0 = -1
So, the coordinates for x = 0 are (0, -1).
For x = 1:
y = -4^1 = -4
So, the coordinates for x = 1 are (1, -4).
Therefore, the coordinates of the given table are:
(-2, -1/16)
(-1, -1/4)
(0, -1)
(1, -4)