Answer:
a) g(0) = -4
b) x = -2 or +2 for g(x) = 0
c) domain: all real numbers; range: y ≥ -4
Step-by-step explanation:
a)
g(0) is the value of the function when x=0. That is where the function crosses the y-axis. g(0) = -4.
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b)
g(x) = 0 where the graph crosses the x-axis. The x-values there are ...
x = -2 and x = 2
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c)
The domain is the horizontal extent of the graph. Here, we assume the graph extends to infinity both in the upward direction and to the left and right. Thus the horizontal extent (domain) is from -∞ to +∞, or "all real numbers."
The point where the graph crosses the y-axis is a minimum. There are no y-values below that point. So, the vertical extent (range) of the graph is from y=-4 to +∞.
y ≥ -4 . . . . range
