Look at the linear function represented in the diagram.
When is the function positive?
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Look at the linear function represented in the diagram.
When is the function positive?
The function is positive when it is above the X-axis.
Let's note that the intersection point of the graph with the X-axis is:
meaning any number greater than 2:
Look at the function shown in the figure.
When is the function positive?
Look at the x-intercept where the line crosses the x-axis. In this graph, it's at . The line goes up as you move right, so for the function is positive.
A function is positive when its output values (y-values) are greater than zero. On a graph, this means the line or curve is above the x-axis.
The question asks when the function is positive, which means for which x-values. The y-values being positive is the condition, but x-values are what we're looking for as the answer.
Pick any x-value greater than 2 (like x = 3 or x = 5) and see if the corresponding point on the line is above the x-axis. If yes, your answer is correct!
If the line had a negative slope (going down from left to right), then the function would be positive for x-values less than the x-intercept instead of greater than.
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