Below is a graph of a function.
Is the function increasing, decreasing, or constant?
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Below is a graph of a function.
Is the function increasing, decreasing, or constant?
The problem presents us with a graph of a function, and we need to determine if the function is increasing, decreasing, or constant. An increasing function would show a line rising as you move from left to right, while a decreasing function would show a line falling. A constant function would be represented by a horizontal line on the graph.
Upon examining the graph provided, we observe that the line is horizontal. This means that the y-value of the function does not change regardless of the x-value. The horizontal nature of the line indicates that the function’s output remains the same across its domain, implying that there is neither an upward nor downward trend.
In this scenario, where the graphical line does not incline or decline, the function is determined to be constant. Thus, the correct answer for this problem, based on the graphical representation, is that the function is constant.
Therefore, the solution to the problem is the function is constant.
Constant
Look at the graph below and determine whether the function's rate of change is constant or not:
Look for a perfectly horizontal line! If the line doesn't go up or down at all, the function is constant. The y-value stays the same no matter what x-value you choose.
It means that no matter what x-value you input, the output is always 3. Whether x = 1, x = 5, or x = 100, you always get y = 3!
Yes! Functions can have different behaviors in different sections. But this particular graph shows a completely horizontal line, so it's constant everywhere we can see.
Reading direction doesn't determine function behavior! Increasing means the y-values get bigger as x increases. Here, all y-values equal 3, so there's no increase.
Pick any two different x-values from the graph and check their y-coordinates. If they're the same (like both being 3), then the function is constant ✓
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