Question

graph the given function by making a table of coordinates.

f(x)=left(\frac{3}{4}
ight)^{x}

complete the table of coordinates.

Explanation:

Step1: Substitute \(x = - 2\)

Use the formula \(a^{-n}=\frac{1}{a^{n}}\). So \(y = (\frac{3}{4})^{-2}=\frac{1}{(\frac{3}{4})^{2}}=\frac{16}{9}\)

Step2: Substitute \(x=-1\)

\(y = (\frac{3}{4})^{-1}=\frac{1}{\frac{3}{4}}=\frac{4}{3}\)

Step3: Substitute \(x = 0\)

Use the formula \(a^{0}=1(a
eq0)\). So \(y = (\frac{3}{4})^{0}=1\)

Step4: Substitute \(x = 1\)

\(y=\frac{3}{4}\)

Step5: Substitute \(x = 2\)

\(y = (\frac{3}{4})^{2}=\frac{9}{16}\)

Answer:

\(x\)	\(-2\)	\(-1\)	\(0\)	\(1\)	\(2\)