5. Consider the rational function (a) Explain why solving the inequality (b) Solve the rational inequality...

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5. Consider the rational function (a) Explain why solving the inequality (b) Solve the rational inequality ²+2r-3 z+1 (e) Now use your work above to graph r(z). z+1 z²+28-3 z+1 9(z)- $0. 50 is helpful in graphing r(r). 6. Conway, Son, and Bruno are debating the possible rational function that would satisfy the conditions included in the number line below. Note that closed circles () on the number lines indicate a zero-value and open circles (o) indicate a point of discontinuity. Recall we can intuitively think of a discontinuity as a point we have to lift our pencil up when drawing the graph of a function. 2 x(x+4)(x-2) z+4 • Conway proposes the rational function to be q(z) = • Son came up with the rational function g(z)= -2(x-2)³ • Bruno thinks the rational function should be g(z) = Explain why each of their proposed rational functions are valid or invalid possible functions for g(x) -(2-2) z+4 5. Consider the rational function (a) Explain why solving the inequality (b) Solve the rational inequality ²+2r-3 z+1 (e) Now use your work above to graph r(z). z+1 z²+28-3 z+1 9(z)- $0. 50 is helpful in graphing r(r). 6. Conway, Son, and Bruno are debating the possible rational function that would satisfy the conditions included in the number line below. Note that closed circles () on the number lines indicate a zero-value and open circles (o) indicate a point of discontinuity. Recall we can intuitively think of a discontinuity as a point we have to lift our pencil up when drawing the graph of a function. 2 x(x+4)(x-2) z+4 • Conway proposes the rational function to be q(z) = • Son came up with the rational function g(z)= -2(x-2)³ • Bruno thinks the rational function should be g(z) = Explain why each of their proposed rational functions are valid or invalid possible functions for g(x) -(2-2) z+4