Question

graph the function. plot at least three points.

k(x) = 9^x

part: 0 / 2

part 1 of 2

complete the table.

x	k(x) = 9^x
-1	\square
0	\square
1	\square

Explanation:

Step1: Calculate for \( x = -1 \)

To find \( k(-1) \) when \( k(x) = 9^x \), substitute \( x = -1 \). Using the rule \( a^{-n}=\frac{1}{a^n} \), we have \( 9^{-1}=\frac{1}{9^1}=\frac{1}{9} \).

Step2: Calculate for \( x = 0 \)

Substitute \( x = 0 \) into \( k(x) = 9^x \). Recall that any non - zero number to the power of 0 is 1, so \( 9^0 = 1 \).

Step3: Calculate for \( x = 1 \)

Substitute \( x = 1 \) into \( k(x) = 9^x \). We get \( 9^1=9 \).

Answer:

For \( x=-1 \), \( k(x)=\frac{1}{9} \); for \( x = 0 \), \( k(x)=1 \); for \( x = 1 \), \( k(x)=9 \)

So the completed table (from top to bottom in the \( k(x) \) column) is \(\frac{1}{9}\), \( 1 \), \( 9 \)