Question

connor is using a computer program to graph the function H(n)= -13n - 421. He wants to see the intercepts. Which minimum values should he use to set up the viewing window?

Answer 1

I can't see any slick, easy way to tell without finding 
the intercepts, so here goes:

The y-intercept is the value of   H(n)  when 'n' is zero.

                                            H(0) = -13(0) - 421

                                                    =           - 421 .

The n-intercept is the value of 'n' when  H(n)  is zero.

                                            0  =  -13n - 421

Add  13n  to each side:       13n  =  - 421

Divide each side by  13 :        n  =  - 421/13 = - 32.4...

Connor should set up the viewing window so that  'n' displays
at least down to  - 33 , and  H(n)  displays at least down to  - 421 .