Look at the function in the figure.
What is the positive domain of the function?
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Look at the function in the figure.
What is the positive domain of the function?
Positive domain is another name for the point from which the x values are positive and not negative.
From the figure, it can be seen that the function ascends and passes through the intersection point with the X-axis (where X is equal to 0) at point 2a.
Therefore, it is possible to understand that from the moment X is greater than 2a, the function is in the domains of positivity.
Therefore, the function is positive when:
Look at the linear function represented in the diagram.
When is the function positive?
Positive domain refers to where the function values (y-values) are positive, not the x-values. Look at where the graph is above the x-axis, regardless of whether x itself is positive or negative.
Find the x-intercept where the line crosses the x-axis (where y = 0). For an increasing line, the function is positive to the right of this point. For a decreasing line, it's positive to the left.
Both expressions mean the same thing! and are equivalent. The first format emphasizes that x must be greater than the boundary value 2a.
For a decreasing line, the positive domain would be to the left of the x-intercept. Since this line has a negative slope (goes down from left to right), you'd look where x < 2a instead.
Look at the line's direction: if it goes up from left to right, it's increasing (positive slope). If it goes down from left to right, it's decreasing (negative slope).
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