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4 votes
Question choices:

A: I, IV

B: II, III, IV

C: III, IV

D: II, III

Question choices: A: I, IV B: II, III, IV C: III, IV D: II, III-example-1

1 Answer

2 votes

0Answer:

A

Explanation:

Find the zeros by letting y = 0 , that is

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Since the coefficient of the x² term (a) > 0

Then the graph opens upwards and will be positive to the left of x = - 2 and to the right of x = 3 , that is in the intervals

(-∞, - 2) and (3, ∞ ) → option A

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