9. Consider the function $$ f(x)=18(3)^{-1} $$. When the value of $$ x $$ is increased by 1 , the output is (1) multiplied by 3 (2) divided by 3 (3) multiplied by -3 (4) divided by -3

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UpStudy AI · Accepted Answer

Let's analyze the function and the provided options step by step.

**Given Function:**
$$ f(x) = 18 \cdot 3^{-1} $$

At first glance, this appears to be a constant function:
$$ f(x) = \frac{18}{3} = 6 $$
However, the question implies a dependency on $$ x $$, suggesting there might be a typo or misinterpretation in the function's expression. A more reasonable interpretation, considering the context and the answer options, is that the function is:
$$ f(x) = 18 \cdot 3^x $$

**Behavior When $$ x $$ Increases by 1:**
If the function is $$ f(x) = 18 \cdot 3^x $$, then:
$$ f(x+1) = 18 \cdot 3^{x+1} = 18 \cdot 3^x \cdot 3 = 3 \cdot f(x) $$

**Conclusion:**
When $$ x $$ increases by 1, the output $$ f(x) $$ is **multiplied by 3**.

**Correct Option:**
1. multiplied by 3

**Final Answer:**  
Answer (1): the output is multiplied by 3
When $$ x $$ increases by 1, the output is multiplied by 3.

9. Consider the function \( f(x)=18(3)^{-1} \). When the value of \( x \) is increased by 1 , the output is (1) multiplied by 3 (2) divided by 3 (3) multiplied by -3 (4) divided by -3

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