# Complete each of the following statements:

a) The function f (x) = 2x ^ 2 + 8x - 3 decreases over the interval _______________________

b) From the previous function in a), the test of the first derivative makes it possible to determine the nature of the extremum. It will be a ____________________________

c) A function f (x) is said to be even if f (x) = ___________________________

d) A function f (x) is such that (a, f (a)) is an inflection point if_____________________

e) Where θ is the angle formed by the orientations of a and b, the expression | a || b | sinθ represents ___________________________________________________ while | a || b | cos θ represents ____________________________________________

f) The vectors a⃗⃗ = [2, 0, 1] and b⃗⃗ = [1, 2, 3] form an angle of _____________. The magnitude of a⃗⃗ is ________, the magnitude of b⃗⃗ is __________, and the magnitude of a⃗⃗ × b⃗⃗ is ___________.

h) The vector _______________ (multiple answers possible) can be understood in the plane x - 2y + 4z = 9.

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