1. Express using absolute value notation: a. x -5 or x 5 2. Express using absolute...

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1. Express using absolute value notation: a. x ≤-5 or x ≥5 2. Express using absolute value notation: A++ -4-3-2-1 0 1 2 3 -4-3-2-1 0 1 2 3 b. 3 <x<3 3. (-3,5) and (4,-1) belong to a function f. Show how these points will be transformed for g(x) = - 3f (2x + 4) - 1 4. a) Graph the function f(x) = |x and the transformed function defined by 1 y=f[2(x+3)] +5 1 b) State the impact of transformations on the domain and range, intervals of increase/decrease, and end behaviours. c) State the equation of the transformed function. 5. a) f(x) is a quadratic function. Its graph decreases on the interval (-∞0. - 3) and increases on the interval (-3, 00). The y-intercept is (0,9). What is a possible equation for f(x)? 2 b) Can f(x) be another function (not quadratic) that has the same characteristics? If yes, provide an example; if no, explain why. 6. Sketch a graph of a function that has the following characteristics: It is odd It is continuous It has zeros at X = -5, 0, 5. It is increasing on the interval (-4, 4). It is decreasing on the interval (-∞o,-4) or (4, 00) 1. Express using absolute value notation: a. x ≤-5 or x ≥5 2. Express using absolute value notation: A++ -4-3-2-1 0 1 2 3 -4-3-2-1 0 1 2 3 b. 3 <x<3 3. (-3,5) and (4,-1) belong to a function f. Show how these points will be transformed for g(x) = - 3f (2x + 4) - 1 4. a) Graph the function f(x) = |x and the transformed function defined by 1 y=f[2(x+3)] +5 1 b) State the impact of transformations on the domain and range, intervals of increase/decrease, and end behaviours. c) State the equation of the transformed function. 5. a) f(x) is a quadratic function. Its graph decreases on the interval (-∞0. - 3) and increases on the interval (-3, 00). The y-intercept is (0,9). What is a possible equation for f(x)? 2 b) Can f(x) be another function (not quadratic) that has the same characteristics? If yes, provide an example; if no, explain why. 6. Sketch a graph of a function that has the following characteristics: It is odd It is continuous It has zeros at X = -5, 0, 5. It is increasing on the interval (-4, 4). It is decreasing on the interval (-∞o,-4) or (4, 00)

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