Answer:
If any horizontal line intersects the graph of f more than once, then f does not have an inverse. If no horizontal line intersects the graph of f more than once, then f does have an inverse. The property of having an inverse is very important in mathematics, and it has a name.
Step-by-step explanation:
Answer:
The correct option is A.
Step-by-step explanation:
The given equation is

Put x=0, in the given equation.

The y-intercept is (0,32).
Put y=0, to find the x-intercept.





Therefore the y-intercepts are (-4,0) and (8,0).
The vertex of a parabola
is


Put x=2 in the given function.



The vertex is (2,36).
Therefore option A is correct.
Answer:
3750
Step-by-step explanation:
multiply
Answer: 1,2,3,4,6,8,12,16,24,48
Answer:
2π ≈ 6.283
Step-by-step explanation:
The average value of the function is the area under it, divided by the base. This function describes a semicircle of radius 8, so its area is ...
A = 1/2πr² = 1/2π·8² = 32π
The width of the base is the diameter of the semicircle, so is 16. Then the average value is ...
32π/16 = 2π . . . . . average value of y