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The entire graph of the function g is shown in the figure below. Write the domain and range of g as intervals or unions of
The entire graph of the function g is shown in the figure below. Write the domain and range of g as intervals or unions of intervals. ..-. . . . . . .-. . -. . . -. . ...m. . .=.. . . . . - . . .. domain = 3 . ! . . I -. . .. . range =] . . 181 1 1813 181 1 181 . . . . . . . .. . . . . .- . . . . . - . . .-. . 2 . . !-. . J.. -. . . ! - . . . . . . ; . ... -5- ".. . . . . . .\fConsider the liner = 8r 2. Find the equation of the line that is parallel to this line and passes through the point (4, -5). Find the equation of the line that is perpendicular to this line and passes through the point (4, -5). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of parallel line: [I : =| | Equation of perpendicular line: [I (a) The graph of y = g (x) is shown. Draw the graph of y = g (-x) +1. 6- 4- 2- X of -6- (b) The graph of y = h (x) is shown. Draw the graph of y = 2h (x) -3. X 5 -8 A -6 4 6 -2Three functions are given below. For each, decide whether it is an even function, an odd function, or neither. f (x = 3 g (x) = 6x x h (x) =V2x- +1 4.x Even O Even O Even O Odd O Odd O Odd O Neither O Neither Neither X 5Suppose that the function g is defined, for all real numbers, as follows. X +5 ifx*-2 g (x 2 if x = -2 Find g (-4), g (-2), and g (5). (-4) = 0 0O 8 (-2) = 0 X 5 8 (5 ) = 0For the real-valued functions f(x) =x -2 and g (x) =x -3, find the composition fog and specify its domain using interval notation. VO ( fo 8 ) (x ) = 0 010| (0,0) [0,0] OVO (0,0] [0,0) Domain of fog : OO -00 X 5
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