SOLUTION: What is the area (in square units) of the region under the curve of the function f(x)=x+3, on the interval from x=1 to x=3?
a. 10
b. 12
c. 14
d. 16
e. 18
Algebra ->
Functions
-> SOLUTION: What is the area (in square units) of the region under the curve of the function f(x)=x+3, on the interval from x=1 to x=3?
a. 10
b. 12
c. 14
d. 16
e. 18
Log On
Question 1179688: What is the area (in square units) of the region under the curve of the function f(x)=x+3, on the interval from x=1 to x=3?
a. 10
b. 12
c. 14
d. 16
e. 18
This shape is a trapezoid with one base (vertical) of f(1) = 1+3 = 4 units at x=1
and the other base (vertical) of f(3) = 3+3 = 6 units at x=3.
The height of the trapezoid is 3-1 = 2 units long (horizontally).
To find the area, apply the formula for the trapezoid area
AREA = = 4 + 6 = 10 square units. ANSWER
