Find the inflection points of the following function: f ( x ) = -7 x + 10 - 2 sin x {image} 1. 2. {image} 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Choose the incorrect property of the given function. {applet} f ' (x) < 0, if |x| < 2 and f ' (x) > 0, if |x| > 2 f '' > 0, if x < 0 and f '' < 0, if x > 0 f '(2) = f '(-2) = 0 f(-2) = 32 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Choose the graph of f " (x) if {image} . 1. {applet} 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

How many points of inflection are on the graph of the function: {image} 4 3 1 2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

What symbol must appear in place of " What symbol must appear in place of "?" to make the following expression a correct inequality : tan 3 x ? 3 x for 0 < x < {image} 1. 2. tan (3 x) {image} 3 x tan (3 x) < 3 x tan (3 x) > 3 x 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50