Question

When graphing the function f(x)=-(x+5)+12 on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function?
Xmin: –10, Xmax: 10
Ymin: –10, Ymax: 10
Xmin: –20, Xmax: 20
Ymin: –20, Ymax: 20
Xmin: –5, Xmax: 5
Ymin: –20, Ymax: 20
Xmin: –10, Xmax: 10
Ymin: –5, Ymax: 5

Answer 1

Choose Xmin: –20, Xmax: 20 and Ymin: –20, Ymax: 20.

Reason: f(x)=-(x+5)+12 = -x+7 is a line with slope -1 and y‑intercept 7, so its domain and range are all real numbers. The largest window shows the line extending across the screen, making it clear it continues without bound (domain = (-∞, ∞), range = (-∞, ∞)).