What is the positive domain of the function shown in the graph below?
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What is the positive domain of the function shown in the graph below?
Since the entire function is above the X-axis, the function is always positive.
In other words, its positive domain will be all values of .
For all
Look at the function shown in the figure.
When is the function positive?
Domain is all possible x-values where the function exists. Positive domain is all x-values where the function's output (y-value) is greater than zero.
The point (0,4) is just one labeled point on the horizontal line! The gray line extends infinitely in both directions at height y = 4, so the function equals 4 everywhere.
Look at the y-coordinate of the horizontal line. If it's above the x-axis (y > 0), then the entire function is positive for all x-values!
Then the positive domain would be empty or 'no solution' because -2 < 0. The function would never be positive since it's always below the x-axis.
Yes! Most functions have specific intervals where they're positive. This horizontal line at y = 4 is special because it's always positive - that's why the answer is 'for all x'.
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