Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 02, 2024

Determine if the linear function $f(x) = 2 - 9x$ is increasing, decreasing, or constant.

STEP 1

Assumptions
1. The function given is $f(x) = 2 - 9x$ .
2. To determine if the function is increasing, decreasing, or constant, we need to look at the coefficient of $x$ in the function.
3. If the coefficient of $x$ is positive, the function is increasing.
4. If the coefficient of $x$ is negative, the function is decreasing.
5. If the coefficient of $x$ is zero, the function is constant.

STEP 2

Identify the coefficient of $x$ in the function $f(x)$ .
The coefficient of $x$ in $f(x) = 2 - 9x$ is $-9$ .

STEP 3

Determine the nature of the function based on the coefficient of $x$ .
Since the coefficient of $x$ is $-9$ , which is negative, the function $f(x)$ is decreasing.
The correct answer is: The line is decreasing.

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