f(x) = 5 - x^2:
y-Intercept: When you put x = 0 in f(x), you get f(0) = 5. So, the y-intercept is at 5 on the y-axis.
x-Intercepts: To find where the graph crosses the x-axis, set f(x) = 0. Solving this, you get x = ±√5, so the x-intercepts are -√5 and √5.
Symmetry: This function looks the same on both sides of the y-axis, so it's symmetric.
Vertex: The "top" or "bottom" point of the graph (called the vertex) is at (0, 5).
g(x) = √x:
Domain: You can use this function for numbers x ≥ 0 because you can't take the square root of a negative number.
Range: The results of this function are always zero or positive numbers (g(x) ≥ 0).
Symmetry: It looks the same on both sides of the y-axis, so it's symmetric.
Increasing: As you move to the right on the graph (x increases), the values of g(x) also increase.