3. Determine whether the graph of each of the following equations is symmetric with respect to...

 

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3. Determine whether the graph of each of the following equations is symmetric with respect to the x-axis, y-axis, origin, the line y = x or none of these. a) y = -8x b) x + y = 4 c) y = -|x| 4. Show, algebraically, that f(x) = 4x-9 and g(x) = (x + 9)/4 are inverse functions. 5. Find a rule for the inverse of f(x) = x + 1. Then graph both f(x) and f'(x) on the same coordinate plane. 3. Determine whether the graph of each of the following equations is symmetric with respect to the x-axis, y-axis, origin, the line y = x or none of these. a) y = -8x b) x + y = 4 c) y = -|x| 4. Show, algebraically, that f(x) = 4x-9 and g(x) = (x + 9)/4 are inverse functions. 5. Find a rule for the inverse of f(x) = x + 1. Then graph both f(x) and f'(x) on the same coordinate plane.