which is the graph of the function f(x) = -√x
which is the graph of the function f(x) = -√x
Answer
Explanation:
Step1: Consider domain
The function $y =-\sqrt{x}$ has domain $x\geq0$ since we can't take the square - root of a negative number in the real - number system.
Step2: Analyze behavior
When $x = 0$, $y=-\sqrt{0}=0$. As $x$ increases, $\sqrt{x}$ increases, and since there is a negative sign in front, $y =-\sqrt{x}$ decreases.
Answer:
The graph that starts at the origin $(0,0)$ and curves downwards for $x\geq0$.