Question

complete the table of values for the function $f(x)=\frac{1}{x}$. $a =$ $b =$ $c =$ $d =$ $e =$ $f =$ $g =$ $h =$

Explanation:

Step1: Substitute \(x = - 1\) into \(f(x)=\frac{1}{x}\)

\(a=\frac{1}{-1}=-1\)

Step2: Substitute \(x=-0.1\) into \(f(x)=\frac{1}{x}\)

\(b = \frac{1}{-0.1}=-10\)

Step3: Substitute \(x = - 0.01\) into \(f(x)=\frac{1}{x}\)

\(c=\frac{1}{-0.01}=-100\)

Step4: Substitute \(x=-0.001\) into \(f(x)=\frac{1}{x}\)

\(d=\frac{1}{-0.001}=-1000\)

Step5: Substitute \(x = 0.001\) into \(f(x)=\frac{1}{x}\)

\(e=\frac{1}{0.001}=1000\)

Step6: Substitute \(x = 0.01\) into \(f(x)=\frac{1}{x}\)

\(f=\frac{1}{0.01}=100\)

Step7: Substitute \(x = 0.1\) into \(f(x)=\frac{1}{x}\)

\(g=\frac{1}{0.1}=10\)

Step8: Substitute \(x = 1\) into \(f(x)=\frac{1}{x}\)

\(h=\frac{1}{1}=1\)

Answer:

\(a=-1\), \(b = - 10\), \(c=-100\), \(d=-1000\), \(e = 1000\), \(f=100\), \(g = 10\), \(h=1\)