Question

Given the function C(t) = (t – 6)(t + 1)(t – 7)its C-intercept is =its t-intercepts are =

Answer 1

C(t) = (t - 6)(t + 1)(t - 7)

C- intercept when t = 0

C(0) = (0 - 6)(0 + 1)(0 - 7)

C(0) = (-6)(+1)(-7)

C(0) = 42

C-intercept = 42

t-intercepts

t - 6 = 0

t = 6

t + 1 = 0

t = -1

t - 7 = 0

t = 7

t - intercepts = 6, -1, 7