Question

complete the table of values for the function \\(f(x) = \frac{1}{x}\\).

\\(\

$$\begin{array}{|c|c|} \\hline x & f(x) \\\\ \\hline -1 & a \\\\ \\hline -0.1 & b \\\\ \\hline -0.01 & c \\\\ \\hline -0.001 & d \\\\ \\hline \\end{array}$$

\\)

\\(\

$$\begin{array}{|c|c|} \\hline x & f(x) \\\\ \\hline 0.001 & e \\\\ \\hline 0.01 & f \\\\ \\hline 0.1 & g \\\\ \\hline 1 & h \\\\ \\hline \\end{array}$$

\\)

\\(a = \\)
\\(b = \\)
\\(c = \\)
\\(d = \\)
\\(e = \\)
\\(f = \\)
\\(g = \\)
\\(h = \\)

Explanation:

Evaluate negative inputs

Using the Rational Functions knowledge point

$$
LATEXBLOCK0
$$

Evaluate positive inputs

Using the Rational Functions knowledge point

$$
LATEXBLOCK1
$$

Answer:

Complete the table of values for the function \(f(x) = \frac{1}{x}\).

\(a =\) <blank>-1</blank>
\(b =\) <blank>-10</blank>
\(c =\) <blank>-100</blank>
\(d =\) <blank>-1000</blank>
\(e =\) <blank>1000</blank>
\(f =\) <blank>100</blank>
\(g =\) <blank>10</blank>
\(h =\) <blank>1</blank>