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MA 4. 1. Let P = (x,y) be a point on the graph of y=x²-7. Complete parts (a) through (e) below. (a) Express the distance d from P to the origin as a function of x. d(x)= (Simplify your answer. Type an exact answer, using radicals as needed.) (b) What is d if x = 0? If x=0, the distance d is (Type an integer or decimal rounded to two decimal places as needed.) (c) What is d if x=2? If x=2, the distance d is (Type an integer or decimal rounded to two decimal places as needed.)

MA 4. 1. Let P = (x,y) be a point on the graph of y=x²-7. Complete parts (a) through (e) below. (a) Express the distance d from P to the origin as a function of x. d(x)= (Simplify your answer. Type an exact answer, using radicals as needed.) (b) What is d if x = 0? If x=0, the distance d is (Type an integer or decimal rounded to two decimal places as needed.) (c) What is d if x=2? If x=2, the distance d is (Type an integer or decimal rounded to two decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 18E
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H TX a ΜΑ 4. MAT 151 Sect 3.6 Homework Name 1. Let P = (x,y) be a point on the graph of y=x²-7. Complete parts (a) through (e) below. (a) Express the distance d from P to the origin as a function of x. d(x) = [ (Simplify your answer. Type an exact answer, using radicals as needed.) (b) What is d if x = 0? If x = 0, the distance d is - (Type an integer or decimal rounded to two decimal places as needed.) d eden) (c) What is d if x = 2? If x=2, the distance d is (Type an integer or decimal rounded to two decimal places as needed.) (d) Use a graphing utility to graph d=d(x). Choose the correct graph below. O A. [-5, 5, 1, -15, 3, 3] + O B. [-5, 5, 1, -3, 15, 3] 2 (e) For what values of x is d smallest? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OB. d(x) gets infinitely small. O C. [-5, 5, 1, -15, 3, 3] O A. x= (Type an integer or decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) an of x O D. [-5, 5, 1, -3, 15, 3] + figu. Eg (9.12)
Transcribed Image Text:H TX a ΜΑ 4. MAT 151 Sect 3.6 Homework Name 1. Let P = (x,y) be a point on the graph of y=x²-7. Complete parts (a) through (e) below. (a) Express the distance d from P to the origin as a function of x. d(x) = [ (Simplify your answer. Type an exact answer, using radicals as needed.) (b) What is d if x = 0? If x = 0, the distance d is - (Type an integer or decimal rounded to two decimal places as needed.) d eden) (c) What is d if x = 2? If x=2, the distance d is (Type an integer or decimal rounded to two decimal places as needed.) (d) Use a graphing utility to graph d=d(x). Choose the correct graph below. O A. [-5, 5, 1, -15, 3, 3] + O B. [-5, 5, 1, -3, 15, 3] 2 (e) For what values of x is d smallest? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OB. d(x) gets infinitely small. O C. [-5, 5, 1, -15, 3, 3] O A. x= (Type an integer or decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) an of x O D. [-5, 5, 1, -3, 15, 3] + figu. Eg (9.12)
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