Question

Question 13

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

Answer 1

The c intercept is 42

The t intercepts are: 6, -1 and 7

Explanation:

Given

`c(t) = (t - 6)(t +1)(t-7)`

Solving (a): The c intercept

Simply set t to 0

`c(t) = (t - 6)(t +1)(t-7)`

`c(0) = (0 - 6)(0 +1)(0-7)`

`c(0) = (- 6)(1)(-7)`

`c(0) = 42`

Solving (b): The t intercept

Simply set c(t) to 0

`c(t) = (t - 6)(t +1)(t-7)`

`(t - 6)(t +1)(t-7) = 0`

Split

`t - 6= 0,\ \ t +1= 0,\ \ t-7 = 0`

Solve for t

`t = 6,\ \ t =-1,\ \ t=7`