Answer:
see explanation
Step-by-step explanation:
To find the y- intercept let x = 0
f(0) = 0² - 8(0) - 10 = 0 - 0 - 10 = - 10
The y- intercept is (0, - 10)
To find the x- intercepts let f(x) = 0, that is
2x² - 8x - 10 = 0 ( divide through by 2 )
x² - 4x - 5 = 0
Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)
The factors are - 5 and + 1, since
- 5 × 1 = - 5 and - 5 + 1 = - 4, hence
(x - 5)(x + 1) = 0
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
The x- intercepts are (- 1, 0) and (5, 0)
