2 Let f(x)=12 - x and g(x)=x-x. Then the domain of fog is equal to 8...

Transcribed Image Text:

2 Let f(x)=12 - x and g(x)=x-x. Then the domain of fog is equal to 8 7 point. After finishing the graph, click outside the grid to stop drawing. 65 m2 - 4 3 The graph of f(x) is shown in red. Draw the graph of g(x) = f(-x). Make sure to start at one of the endpoints, not the middle 8-7-6-5-4-3-2-1 -1 -2- -3- -5- -6 -7 -8+ Clear All Draw: Polygon 8+ 7 6- 5 4 3 2 The graph of f(x) is shown in red. Draw the graph of g(x) = f(x) - 3. Make sure to start at one of the endpoints, not the middle 8-7-6-5-4-3-2-1 point. After finishing the graph, click outside the grid to stop drawing. 1 2 3 4 5 6 7 8 -2 -3 -4 -5 2 3 4 5 6 7 8 -6 -7- -8+ Clear All Draw: Polygon The graph of f(x) is shown in red. Draw the graph of g(x) = -f(x). 8- 7 6 5 4 The graph of f(x) is shown in red. Draw the graph of g(x) = f(x + 1). N 3 Now 2 1 Make sure to start at one of the endpoints, not the middle 8-7-6-5-4-3-2-1- point. After finishing the graph, click outside the grid to stop drawing. -2 -3 in & -5 -6 -7 -8+ Clear All Draw: Polygon 8+ 7 6 -NW & 5 4 3 2- 1 Make sure to start at one of the endpoints, not the middle 8-7-6-5-4-3-2-4- point. After finishing the graph, click outside the grid to stop drawing. -2 -3 2 -5 -6 -7 -8+ l Clear All Draw: Polygon 4 5 6 7 8 I 2 3 4 5 6 7 8 6 5 3- 2 + -6-5-4-3-2-1 + 2 3- I 2 3 A -5+ --6+ 5 The graph above is a transformation of the function Write an equation for the function graphed above g(x) = 3-2-1 y = in 5- 4 3 2, 1 -1 -2- -3 -5+ I 2 3 4 5 Complete an equation for the function graphed above Enter abs(x) for x Find a formula for each of the transformations whose graphs are given below. Recall that square root is entered as sqrt. a) y = -5 -4 -3 -2 -1 -1 b) 15 + y = 4 3 2 1 -2 -5 -4 -3 -2 -1 21 m N -3- -5+ 5 4 3 2 -1 L -2- 2 3 -3 -5+ 40 1 1 23 4 5 6 5 4 3 2 1 -6 -5 4 3-A-J g(x) = +2 13- 44 i 2 3 4 The graph above is a transformation of the function . Give the function in the graph above. -6-5-4-3-2-1 3 A = 2 B= + -2- The graph above shows the function f(x). The graph below shows g(x). 324 3 2 + 2 3 -2- 5 2 3 g(x) is a transformation of f(x). g(x) = Af(Bx), where: Sketch a graph of f(x) = -x +1| + 1. Before sketching the graph, determine where the function has its minimum or maximum value so you can place your first point there. 10 -4 -3 -1 Clear All Draw: 5 4- 3- 2 1 -1 -2 -3 -4- -5- 2 The x-intercept(s) are at the points The y-intercept is at the point 3 The zeros of the function are at the values 4 tho 5 3-2 g(x) = 6 5 4 3 2 + -2 3 -4 The graph above is a transformation of the function f(x) = |x| Write an equation for the function graphed above 6+ 5 4 3 2 1 -6-5-4-3-2-1 F-1 2 I 2 4 6 The graph above is a transformation of the function f(x) = |x|. Write an equation for the function graphed above. g(x) = Sketch a graph of: f(x)= = 5+ 4 -5 -4 -3 -2 -1 Clear All Draw: 3 2 1 -1 -2 -3 -5+ -2x + 2 + 1 12 3 4 10 Sketch a graph of f(x) = -1|x| 5 4 3 2 1 -5 -4 -3 -2 -1 Clear All Draw: -1 -2 -3 -4 ch 1 2 4 Gr Use the graph below to fill in the missing values. 5 4 3 2 1 f(x) -NI 2 f(0) = f(x) = 0, x=| f-(0) = f-(x)=0, x = 3 4 2 Let f(x)=12 - x and g(x)=x-x. Then the domain of fog is equal to 8 7 point. After finishing the graph, click outside the grid to stop drawing. 65 m2 - 4 3 The graph of f(x) is shown in red. Draw the graph of g(x) = f(-x). Make sure to start at one of the endpoints, not the middle 8-7-6-5-4-3-2-1 -1 -2- -3- -5- -6 -7 -8+ Clear All Draw: Polygon 8+ 7 6- 5 4 3 2 The graph of f(x) is shown in red. Draw the graph of g(x) = f(x) - 3. Make sure to start at one of the endpoints, not the middle 8-7-6-5-4-3-2-1 point. After finishing the graph, click outside the grid to stop drawing. 1 2 3 4 5 6 7 8 -2 -3 -4 -5 2 3 4 5 6 7 8 -6 -7- -8+ Clear All Draw: Polygon The graph of f(x) is shown in red. Draw the graph of g(x) = -f(x). 8- 7 6 5 4 The graph of f(x) is shown in red. Draw the graph of g(x) = f(x + 1). N 3 Now 2 1 Make sure to start at one of the endpoints, not the middle 8-7-6-5-4-3-2-1- point. After finishing the graph, click outside the grid to stop drawing. -2 -3 in & -5 -6 -7 -8+ Clear All Draw: Polygon 8+ 7 6 -NW & 5 4 3 2- 1 Make sure to start at one of the endpoints, not the middle 8-7-6-5-4-3-2-4- point. After finishing the graph, click outside the grid to stop drawing. -2 -3 2 -5 -6 -7 -8+ l Clear All Draw: Polygon 4 5 6 7 8 I 2 3 4 5 6 7 8 6 5 3- 2 + -6-5-4-3-2-1 + 2 3- I 2 3 A -5+ --6+ 5 The graph above is a transformation of the function Write an equation for the function graphed above g(x) = 3-2-1 y = in 5- 4 3 2, 1 -1 -2- -3 -5+ I 2 3 4 5 Complete an equation for the function graphed above Enter abs(x) for x Find a formula for each of the transformations whose graphs are given below. Recall that square root is entered as sqrt. a) y = -5 -4 -3 -2 -1 -1 b) 15 + y = 4 3 2 1 -2 -5 -4 -3 -2 -1 21 m N -3- -5+ 5 4 3 2 -1 L -2- 2 3 -3 -5+ 40 1 1 23 4 5 6 5 4 3 2 1 -6 -5 4 3-A-J g(x) = +2 13- 44 i 2 3 4 The graph above is a transformation of the function . Give the function in the graph above. -6-5-4-3-2-1 3 A = 2 B= + -2- The graph above shows the function f(x). The graph below shows g(x). 324 3 2 + 2 3 -2- 5 2 3 g(x) is a transformation of f(x). g(x) = Af(Bx), where: Sketch a graph of f(x) = -x +1| + 1. Before sketching the graph, determine where the function has its minimum or maximum value so you can place your first point there. 10 -4 -3 -1 Clear All Draw: 5 4- 3- 2 1 -1 -2 -3 -4- -5- 2 The x-intercept(s) are at the points The y-intercept is at the point 3 The zeros of the function are at the values 4 tho 5 3-2 g(x) = 6 5 4 3 2 + -2 3 -4 The graph above is a transformation of the function f(x) = |x| Write an equation for the function graphed above 6+ 5 4 3 2 1 -6-5-4-3-2-1 F-1 2 I 2 4 6 The graph above is a transformation of the function f(x) = |x|. Write an equation for the function graphed above. g(x) = Sketch a graph of: f(x)= = 5+ 4 -5 -4 -3 -2 -1 Clear All Draw: 3 2 1 -1 -2 -3 -5+ -2x + 2 + 1 12 3 4 10 Sketch a graph of f(x) = -1|x| 5 4 3 2 1 -5 -4 -3 -2 -1 Clear All Draw: -1 -2 -3 -4 ch 1 2 4 Gr Use the graph below to fill in the missing values. 5 4 3 2 1 f(x) -NI 2 f(0) = f(x) = 0, x=| f-(0) = f-(x)=0, x = 3 4