If the function is f(x)=x3

Question

, complete the table for its horizontal reflection.(2 points)
x 0 1 2
f(−x)
answer 0, 1, and 2

Answer 1

To find the horizontal reflection of the function \( f(x) = x^3 \), we need to evaluate \( f(-x) \).

1. For \( x = 0 \): \[ f(-0) = f(0) = 0^3 = 0 \]

2. For \( x = 1 \): \[ f(-1) = (-1)^3 = -1 \]

3. For \( x = 2 \): \[ f(-2) = (-2)^3 = -8 \]

Now we can complete the table for \( f(-x) \):

\[ \begin{array}{|c|c|} \hline x & f(-x) \ \hline 0 & 0 \ 1 & -1 \ 2 & -8 \ \hline \end{array} \]

So the answers for \( f(-x) \) are:

• For \( x = 0 \): \( 0 \)
• For \( x = 1 \): \( -1 \)
• For \( x = 2 \): \( -8 \)