Question

1. Consider the function f(x) = (x^3 - 2x^2 - 9) / (x - 3). Using Desmos, (a) Evaluate f(x) at the following values: x = 3.2, 2.8, 3.1, 2.9, 3.01, 2.99, 3.005, 2.995 (keep your answers in decimal format), and present your answer in form of a table. (b) Use the result from the above constructed table, to guess a value for lim x->3 f(x). (c) Use long division, to calculate the value of the above limit. (d) Plot a graph of f(x) in Desmos with an appropriate viewing rectangle confirming your result 1 c). Include image of your graph here.

          1. Consider the function f(x) = (x^3 - 2x^2 - 9) / (x - 3). Using Desmos,
(a) Evaluate f(x) at the following values: x = 3.2, 2.8, 3.1, 2.9, 3.01, 2.99, 3.005, 2.995 (keep your answers in decimal format), and present your answer in form of a table.
(b) Use the result from the above constructed table, to guess a value for lim x->3 f(x).
(c) Use long division, to calculate the value of the above limit.
(d) Plot a graph of f(x) in Desmos with an appropriate viewing rectangle confirming your result 1 c). Include image of your graph here.

1. Consider the function f(x) = (x^3 - 2x^2 - 9) / (x - 3). Using Desmos,
(a) Evaluate f(x) at the following values: x = 3.2, 2.8, 3.1, 2.9, 3.01, 2.99, 3.005, 2.995 (keep your answers in decimal format), and present your answer in form of a table.
(b) Use the result from the above constructed table, to guess a value for lim x->3 f(x).
(c) Use long division, to calculate the value of the above limit.
(d) Plot a graph of f(x) in Desmos with an appropriate viewing rectangle confirming your result 1 c). Include image of your graph here.

Added by Courtney B.

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