Question

Can someone explain/show me how to do this?Absolute Value Functions

Parent Function: f(x)=|x|
it asks for Characteristics:
Domain , Range, X-int, Y-Int
Increasing, decreasing
Then Transformations f(x) = f(x)=A|(x-B)| + C
A: B: C: -A:

Answer 1

Domain: The values that X could take, so domain = (-∞,+∞)

Range: The values that the dependant variable, f(x), could take. Since we can't get negative numbers, it'd be range = [0,+∞)

X and Y intercepts: The points in which you touch the axis. On this case the only one is the point (0,0).

Increasing and decreasing refers to the region where the function increases or decreases. It increases on (0,∞), and decreases on (-∞,0).

Sorry, but I don't understand what you mean with "transformations", at least the way you're written it. If you give me a bit more of info, I'll do my best to help :)