Is the function in the graph below decreasing?
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Is the function in the graph below decreasing?
To determine if the function is decreasing, we will analyze the graph visually:
The graph shows a line connecting from the bottom-left to the top-right of the graph area, indicating the line has a positive slope. This type of graph indicates the function is increasing, not decreasing.
A decreasing function means its value goes down as increases, which is equivalent to having a negative slope.
Since the graph appears with a positive slope, the function is not decreasing.
Thus, the correct choice to the problem, which asks if the function in the graph is decreasing, is No.
No
Does the function in the graph decrease throughout?
Look at the direction the line goes from left to right. If it goes upward, the function is increasing. If it goes downward, it's decreasing!
Positive slope = increasing function (line goes up). Negative slope = decreasing function (line goes down). Zero slope = constant function (horizontal line).
A linear function (straight line) is either always increasing, always decreasing, or constant. Only curved functions can increase in some parts and decrease in others.
The steepness tells you how quickly the function increases or decreases, but doesn't change whether it's increasing or decreasing. A steep upward line is still increasing!
Think of climbing stairs: going up (left to right) means you're increasing your height. Going down means you're decreasing your height!
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