Given : On a coordinate plane,a curved line with 3 arcs, lab led f of x, crosses the x-axis at (negative 2,0), (negative 1,0), (1,0), and (3,0) and the y axis at (0, negative 6).
To find: f when x = 0. i.e. f (0).
Solution: since the graph has 3 arcs and 4 solutions, it can be visualized as the follows: Between each solution, the function has to increase and decrease giving arcs in between. 1. One of the arcs is between (negative 2,0) and negative (1,0) 2. Second arc is between (negative 1,0) and (1,0) -this arc cuts the y axis, since x= 0 lies between x= -1 & x=1- 3. Third arc is between (1,0) and (3,0) Therefore only the 2nd arc cuts the y axis It’s given that the curve cuts the y axis at (0, -6) That is when x= 0, f(0) =-6 Therefore the value of f (0) is -6 only.
To calculate area of square we need to find radius r. Radius is a half of a diameter: r = d/2
The blueprint: d = 18 cm r = 18/2 = 9 cm
<span>The blueprint has a scale of three centimeters to four feet. Actual radius r1 is: </span>3 cm : 4 ft = 18 cm : r1 After crossing the products: r1 = 4 ft * 18 cm : 3 cm r1 = 24 ft
The area of the circular base of the fountain is: A = r1² * π π = 3.14 r1 = 24 ft
