Find the first-quadrant area bounded by the axes and the functions
f(x) = 0.5x + 2; g(x) = 2x - 4
Hello, urmiprincess!
Did you make a sketch?
Find the first-quadrant area bounded by the axes and the functions:
. .Code:| B | ...o (4,4) | ...*:::* : | ...*:::::::* : | ...*:::::::::::* : A o2::::::::::::::* : |:::::::::::::* : |:::::::::D:* : E - - o - - - - o - - - - - - + - O| * 2 4 | * | * | * C *-4 |
. . They intersect at
We want the area of quadrilateral
. . Drop perpendicular
Trapezoid has: .
. . Its area is: .
Right triangle BED has: .
. . Its area is: .
Therefore: .