To complete the statements based on the given table, let's analyze it step by step.
1. The [tex]\( x \)[/tex]-intercepts are the values of [tex]\( x \)[/tex] where [tex]\( f(x) = 0 \)[/tex]. Looking at the table, we see:
- When [tex]\( x = -2 \)[/tex], [tex]\( f(x) = 0 \)[/tex].
Therefore, the [tex]\( x \)[/tex]-intercept in the table is [tex]\( -2 \)[/tex].
2. The [tex]\( y \)[/tex]-intercept is the value of [tex]\( f(x) \)[/tex] where [tex]\( x = 0 \)[/tex]. From the table, this gives us:
- When [tex]\( x = 0 \)[/tex], [tex]\( f(x) = -4 \)[/tex].
Hence, the [tex]\( y \)[/tex]-intercept is [tex]\( -4 \)[/tex].
By extracting this information, we complete the statements as follows:
The [tex]\( x \)[/tex]-intercept shown in the table is [tex]\(-2\)[/tex] and the [tex]\( y \)[/tex]-intercept shown in the table is [tex]\(-4\)[/tex].
