Answer:
The domain of the function is the set of all real numbers; the range of the function is the set of all nonnegative real numbers; the graph has an intercept at (0, 0); and the graph is symmetric with respect to the y-axis.
Step-by-step explanation:
This is not a square root function, this is a quadratic function, which has an x².
The domain, or set of x-values, is all real numbers. This is because all numbers work for x.
The range, or set of y-values, is the set of all nonnegative real numbers. This is because all numbers we get for y are positive real numbers.
The graph intersect both the x- and y-axis (x-intercept and y-intercept) at (0, 0).
The graph is decreasing on the interval x<0 and increasing on the interval x>0, not the other way around.
The graph has a minimum at (0, 0), not a maximum.
The graph can be folded in half along the y-axis, so it is symmetric with respect to the y-axis.
