If the function is f(x)=x3
, complete the table for its horizontal reflection.(2 points)
x 0 1 2
f(−x)
To find the values of f(-x), we substitute -x into the function f(x)=x^3:
f(-x) = (-x)^3 = -x^3
Using the values of x in the table:
x | f(-x)
--------------
0 | -(0^3) = 0
1 | -(1^3) = -1
2 | -(2^3) = -8
The completed table for the horizontal reflection of the function f(x) = x^3 is:
x | f(-x)
--------------
0 | 0
1 | -1
2 | -8