SOLUTION: Find the domain, range, and intercepts of the following function: ℎ(𝑥)=1+√(1−2𝑥)

Algebra ->  Functions -> SOLUTION: Find the domain, range, and intercepts of the following function: ℎ(𝑥)=1+√(1−2𝑥)      Log On


   



Question 1166649: Find the domain, range, and intercepts of the following function:
ℎ(𝑥)=1+√(1−2𝑥)

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
The domain is all possible x-values for the function.
Since the sqrt function takes only positive values, the function is defined for all
values for which 1 - 2x > 0 -> x < 1/2
Domain: (-inf,1/2]
The lowest y-value is 1, and the function can grow without bound
Range: [1,inf)