how do I graph each function and state the domain and range? y=4-x^2?

Answer 1

Domain: all real numbers
Range: x^2 >= 0 for all x, so -x^2 <= 0, and 4-x^2 <= 4. So the range is y <= 4.

Graphing: you can always plug in a few values of x, compute the corresponding y-values, and then plot those points. Then draw a curve that connects them.

This function is a parabola, so it's useful to keep that in mind so you know what kind of curve to expect.

Answer 2

domain= all real numbers
range: x^2>=0
so -x^2 <=0
4-x^2<=4
so the range are all the y<=4

and to graph it, it is a parabola, opening down,
that has y-intercept =4,
and the x=intercepts are -2 and 2

Answer 3

to graph the function, you would possibly want to plug in values for x and y and then you would possibly want to plot them. The area might want to be all genuine numbers (your x-fee) because you could plug any volume, adverse or postive, into x. because the bottom x might want to be is 0 (0 squared is 0), then the smallest y might want to be is 4. So the determination is that y is more suitable than or equivalent to 4. wish this helps!