12. Given the rational function h(x) = x-16x -3x+3x+18' find the following information. a. Use your...

 

 

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12. Given the rational function h(x) = x-16x -3x+3x+18' find the following information. a. Use your knowledge of polynomials to factor the numerator and the denominator of h(x) to rewrite the function. b. Find the quotient and the remainder to rewrite h(x) in a different form. c. What is the domain of h? d. Identify the vertical asymptotes. e. Determine the exact location of any removable discontinuity (ie, "hole") if one exists. f. Identify any non-vertical asymptote, if one exists. g. Determine the exact location of all x- - and y-intercepts. 12. Given the rational function h(x) = x-16x -3x+3x+18' find the following information. a. Use your knowledge of polynomials to factor the numerator and the denominator of h(x) to rewrite the function. b. Find the quotient and the remainder to rewrite h(x) in a different form. c. What is the domain of h? d. Identify the vertical asymptotes. e. Determine the exact location of any removable discontinuity (ie, "hole") if one exists. f. Identify any non-vertical asymptote, if one exists. g. Determine the exact location of all x- - and y-intercepts.

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a To factor the numerator and denominator of hx 3x2 3x 18 we first need to simplify the expression h... View the full answer