What is the area is square units o the region under the curve of the function f(x)=4, on the interveral from x=-1 to x=3
?? draw a picture.
you have a rectangle of height 4 and width 4. Area = 16.
To find the area under the curve of the function f(x) = 4 on the interval from x = -1 to x = 3, we need to calculate the area of the rectangular region bounded by the x-axis, the curve, and the vertical lines x = -1 and x = 3.
Since the function f(x) = 4 is a horizontal line with a constant value of 4, the rectangular region will have a constant height of 4 units.
To calculate the width of the rectangular region, we subtract the x-coordinates of the endpoints: 3 - (-1) = 4 units.
Now we can find the area by multiplying the height (4 units) by the width (4 units):
Area = height × width = 4 units × 4 units = 16 square units.
Therefore, the area under the curve of the function f(x) = 4 on the interval from x = -1 to x = 3 is 16 square units.