Answer: The first option is correct.
Explanation:
The given piecewise function is,
From the piecewise function we can say that if x<0, then
If , then
Since the f(x) is defined for x<0 and , therefore the function f(x) is not defined for
.
In the graph 2, 3 and 4 for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.
Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for , hence the first option is correct.
Solution-
Capacity of the spherical tank = 800 gallons.
1 gallon = 0.1337 ft³,
Volume of 800 gallons = 800 × 0.1337 = 106.96 ft³
Formula for the volume of sphere
Equating both the volumes
⇒ = 106.96
⇒ = 25.53
⇒
⇒ r = 2.94
∴ Radius of the sphere is 2.94 ft
The solution of the inequality is x ≥ 1.
Solution:
Given inequality:
To find the solution of the inequality:
Subtract 8 from both sides.
Divide by 3 on both sides.
On simplifying this, we get
The solution of the inequality is x ≥ 1.
The graph of the solution is attached below.
