Let P (x, y) be a point on the graph of y = x^2 - 2. (a) Express the distance d from P to the origin as a function of x. d(x) = squareroot x^4 - 3x^2 + 4 (b) What is d if x = 0? d(0) = 2 (Round to two decimal places.) (c) What is d if x = 1? d(1) = 1.41 (Round to two decimal places.) Use a graphing utility to graph d = d(x) in order to answer the following question. (d) For what positive value of x is d smallest? x = (Round to two decimal places.)
Show transcribed image textLet P (x, y) be a point on the graph of y = x^2 - 2. (a) Express the distance d from P to the origin as a function of x. d(x) = squareroot x^4 - 3x^2 + 4 (b) What is d if x = 0? d(0) = 2 (Round to two decimal places.) (c) What is d if x = 1? d(1) = 1.41 (Round to two decimal places.) Use a graphing utility to graph d = d(x) in order to answer the following question. (d) For what positive value of x is d smallest? x = (Round to two decimal places.)