Question

This is the second part to my first question

A quadratic function

Graph the function g(x) = 4 − x2, and state the domain and range.



Solution

We plot enough points to get the correct shape of the graph.




See Fig. 11.10 for the graph. The domain is (−‡, ‡). From the graph we see that the largest y-coordinate is 4. So the range is (−‡, 4].

I can't paste the graph.

Answer 1

Yes that's right. `u`
Domain is all real numbers or (-infinity, +infinity). And range is (-infinity, 4] since the highest value of g(x) occurs when x^2 is zero.
Yes, the graph is a parabola with a maximum (its vertex) which is at point (0,4)