Find the interval(s) on which the function is increasing. y = x2 - 6x - 16

I. (-LaTeX: \infty∞, 3)

II. (-LaTeX: \infty∞, -2)

III. (3,LaTeX: \infty∞)

IV. (8,LaTeX: \infty∞)

Group of answer choices

I, II

I, IV

II only

III only

6 (3) - 4 + 32

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intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

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