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please solve all 5 questions. fDetermine whether the graph of the given function is symmetric with respect to the y-axis, symmetric with respect to the

please solve all 5 questions.

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\fDetermine whether the graph of the given function is symmetric with respect to the y-axis, symmetric with respect to the origin, or neither. Use yo the standard window to support your conclusion. f(x) = - 8 Choose the correct answer below. O A. The graph of the function f(x) = - 8 is symmetric with respect to the y - axis. O B. The graph of the function f(x) = - 8 is symmetric with respect to the origin. O C. The graph of the function f(x) = - 8 is neither symmetric with respect to the origin nor symmetric with respect to the y - axis.Select Function Set 2, f(x) = vx and g(x) =x- - 4, and check both Display (fog)(x) and (go f)(x) check boxes. Complete parts 1 through 3 below. Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed. Click here to launch the interactive figure. Part 1: What is the domain of f(x)? The domain of f(x) is (Type your answer in interval notation.) Part 2: What is the domain of g(x)? The domain of g(x) is . (Type your answer in interval notation.) Part 3: What is the domain of (f o g)(x)? The domain of (fog)(x) is . (Type your answer in interval notation.)Give a rule of a piecewise function f defined for the graph. Give the domain and the range. X x+1 ifxs - 1 O A. f(x) = x+1 ifx2 - 1 O B. f(x) = x+2 ifxs - 1 2 O C. f(x) = if x> - 1 2 if x - 1 What is the domain? O A. (- 00, - 1) U ( -1, 00) O B. (- 00, 00) O C. (- 00, - 1) O D. (- 00, - 1] What is the range? O A. (- co, 0] U {2} O B. (- co, 0] O C. (-00, 2) O D. (- 00, 0] U [2, 00)Find the center-radius form ofthe equation of the circle described and graph it. center [1.0), radius 5 Type the center-radius term of the equation of the circle. E (Type an equation. Simplify your answer.) Graph the circle. Click to enlarge graph

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