I don't know how to do this pre-calc problem. Please help me.

Question

g(n) = - 7 (9n - 1) (3n + 1)
n - intercept : (n, g(n)) :: ________ [smaller n - value]
n - intercept : (n, g(n)) :: ________ [larger n - value]
y - intercept : (n, g(n)) :: ________

Answer 1

g(n) = -7(9n-1)(3n+1)

 

n-intercepts (set g(n) = 0):   -7(9n-1)(3n+1) = 0

 

                                           n = 1/9 or -1/3

 

                            n-intercepts:  (-1/3, g(-1/3)) = (-1/3, 0)

 

                                                (1/9, g(1/9)) = (1/9, 0)

 

y-intercepts (g(n) intercepts):  set n = 0

 

                                             g(0) = -7(-1)(1) = 7

 

                           y-intercept = (0,7)