Answer:
see explanation
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
3x² - 12 = 0 ( add 12 to both sides )
3x² = 12 ( divide both sides by 3 )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
Thus x- intercepts are at (- 2, 0 ) and (2, 0 )
To find the y- intercept (f(x)) let x = 0, thus
f(0) = 3 × 0² - 12 = 0 - 12 = - 12
Thus y- intercept at (0, - 12 )
