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.)
Answer:
y = lnx/ln12
Step-by-step explanation:
Given the function y = 12^x, to find the inverse of the function, we news to write x as a function of y as shown:
Given y = 12^x
Taking ln of both sides
ln y = ln 12^x
ln y = xln12
Divide both sides by ln12
lny/ln12 = xln12/ln12
x = lny/ln12
x = ln(y-12)
Replacing y with x and x with y
The inverse of the function will be:
y = lnx/ln12
Answer:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ... No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ANSWER: No; 9.
The bottom two because they rapidly go up or down super fast. If it’s an exponential function, it will start off as super low or super high and then shoot up or down rapidly