A sign interval (or sign analysis) refers to the process of determining the intervals on the number line where a given function or expression is positive, negative, or zero. To find the sign intervals for a function f(x): 1. Find the critical points: These are the values of x where f(x) = 0 or where f(x) is undefined. 2. Plot the critical points on a number line: These points divide the number line into several intervals. 3. Test a value within each interval: Choose a test value from each interval and substitute it into f(x) to determine the sign (positive or negative) of the function in that entire interval.

Write sign interval

October 23, 2026Mathematics

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A sign interval (or sign analysis) refers to the process of determining the intervals on the number line where a given function or expression is positive, negative, or zero.

To find the sign intervals for a function $f(x)$ :

Find the critical points: These are the values of $x$ where $f(x) = 0$ or where $f(x)$ is undefined.
Plot the critical points on a number line: These points divide the number line into several intervals.
Test a value within each interval: Choose a test value from each interval and substitute it into $f(x)$ to determine the sign (positive or negative) of the function in that entire interval.

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