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1 answer:
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Answer:
f(x) = 3x - 1
Step-by-step explanation:
The line can be represented in the form f(x) = mx + b, where m is the rate of change of the line and b is the value of the function when x = 0.
Looking at the graph, we can tell that when x = 0 the function = -1. (The point on the line and the y-axis).
We can also tell that when x increases by 1, y increases by 3. The points (0,-1) and (1, 2) are both on the line and their difference in x is 1 and their difference in y is 3.
The formula for slope (rate of change) is , so m =
or 3.
Now we have the equation for the line is f(x) = 3x - 1
The area bounded by the line y=3x from limits x=0 to x=4 will be 24.
<h3>What is integration?</h3>
Integration is defined as the adding up all the small units to find the whole unit.
It is given in the question that the line y=3x is making a region in a plane from the limits x= to x=4.
So by integrating the function we will get the area.
hence the region bounded by the line y=3x will have the area of 24 square units.
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