Which of the following statements is not true? O 1) A function is even if it...

Transcribed Image Text:

Which of the following statements is not true? O 1) A function is even if it is unchanged when x is replaced by -x. O 2) The graph of an odd function is symmetrical about the origin. O 3) The graph of an even function is symmetrical about x-axis. O 4) The graph of an even function is symmetrical about y-axis. A function f(x) has the following properties: f'(a) = 0 f'(x) < 0, x < a く f'(x) > 0, x > a Which of the following describes the point whose coordinates are (a, Aa))? O 1) a minimum 2) a derivative O 3) a secant 4) a maximum Use the following information to sketch the graph of a continuous functior following properties: (a) f(-3) = 5,f (0) = 2, f (3) = 0 (b) f"(x) > O on (-00,-3) U (3,00) andf'(x) <0 on (-3,3) (c) f "(x) <0for x < Oand f"(x) > Ofor x > 0 Using the given information and your sketch, decide which of the following statements is false. O 1) (-3, 5) is a local maximum O 2) (0, 2) is a point of inflection. 3) The function is concave upward when x < 0 4) The function decreases on the interval (-3, 3) Which of the following statements is not true? O 1) A function is even if it is unchanged when x is replaced by -x. O 2) The graph of an odd function is symmetrical about the origin. O 3) The graph of an even function is symmetrical about x-axis. O 4) The graph of an even function is symmetrical about y-axis. A function f(x) has the following properties: f'(a) = 0 f'(x) < 0, x < a く f'(x) > 0, x > a Which of the following describes the point whose coordinates are (a, Aa))? O 1) a minimum 2) a derivative O 3) a secant 4) a maximum Use the following information to sketch the graph of a continuous functior following properties: (a) f(-3) = 5,f (0) = 2, f (3) = 0 (b) f"(x) > O on (-00,-3) U (3,00) andf'(x) <0 on (-3,3) (c) f "(x) <0for x < Oand f"(x) > Ofor x > 0 Using the given information and your sketch, decide which of the following statements is false. O 1) (-3, 5) is a local maximum O 2) (0, 2) is a point of inflection. 3) The function is concave upward when x < 0 4) The function decreases on the interval (-3, 3)