It should be 6100 which rounded to the nearest ten gives 61 × 10²
Answer:
k = 5
Step-by-step explanation:
given f(x) then f(x) + k represents a vertical translation of f(x)
• If k > 0 then a shift of k units up
• If k < 0 then a shift of k units down
f(x) crosses the y- axis at - 2
g(x) crosses the y- axis at 3
Thus g(x) is 5 units vertically up from f(x)
since g(x) = f(x) + k → then k = 5
Width = x
length = 2x
96 = x + x + 2x + 2x
96 = 6x
x = 16
2x is simply 16 × 2.
The range of the function f(x) is the set of all values that function f takes.
The domain of the function f(x) is the set of all possible values for x.
From the given graph you can see that the domain is all real numbers,
The maximal y-value that f takes is 3 at x=-1. For all another x from the domain, y is less than 3.
Thus, the range of the given function is ![y\in (-\infty,3].](https://tex.z-dn.net/?f=y%5Cin%20%28-%5Cinfty%2C3%5D.)
Answer: ![y\in (-\infty,3].](https://tex.z-dn.net/?f=y%5Cin%20%28-%5Cinfty%2C3%5D.)