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 .