PreCalculus: Pd.5 - PreCalculus S PreCalculus: Pd.5 - PreCalculus X S 6-3 Graphing Rational Function X...

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PreCalculus: Pd.5 - PreCalculus S PreCalculus: Pd.5 - PreCalculus X S 6-3 Graphing Rational Function X PC Unit 6 Packets - Rational Fu X PC Unit 7 Packets - Exp and Lo X Course Hero C O File /Users/zoenewman/Downloads/6-3_Graphing_Rational_Functions_p_15-16%20(6).pdf SMCPS Bookmarks PC Unit 6 Packets - Rational Functions.pdf SUMMARY REVIEW SKILLZ 6.3 Graphing Rational Functions PRACTICE uy ny ny 1 2 Now, summarize your notes here! 1 / 2 - 125% + You try! y: = x - 4x - 12 x2+5x+6 Hole/Vertical Asymptotes: Y-Int: X-int: Horizontal/Slant Asymptote: SUMMARY: -10-9 10+ -9+ -8+ 7+ 6+ -5+ 4+ 3 2 -5 -8. REVIEW SKILLZ 3) (4h-5)3 4) Directions: Simplify. Use only positive exponents. 1) 5x-4 (6x-3) 2) 15y7 20y14 6.3 Graphing Rational Functions 8_9_10 (3n13.4m-8-5-3 (mn-3)2 PRACTICE 1 x-6x-16 Directions: Find any holes or vertical asymptotes. 1) y = 2) y = 2x+11x-6 x+2x-24 3) y = 2x-6x 9x-3x PreCalculus: Pd.5 - PreCalculus S PreCalculus: Pd.5 - PreCalculus X S 6-3 Graphing Rational Function X PC Unit 6 Packets - Rational Fu X PC Unit 7 Packets - Exp and Lo X Course Hero C O File /Users/zoenewman/Downloads/6-3_Graphing_Rational_Functions_p_15-16%20(6).pdf SMCPS Bookmarks PC Unit 6 Packets - Rational Functions.pdf SUMMARY REVIEW SKILLZ 6.3 Graphing Rational Functions PRACTICE ny ny 1 2 2 / 2 - 100% + Directions: Find the x- and y-intercept(s) 2x-3 4) y = 4x+5 5) y: = 6x+x-12 x-13x-40 6) y = x+x-30 x-8x+15 Directions: Find any horizontal asymptotes. 4x+7x-12 7) y = 2x-7 8) y 3 = 8x-3 2x+9 9) y = = 3x-4x+9 4x3+8x2-10x+1 Directions: Find the slant asymptote (if it exists). 6x3+8x-7x 10) y = 2x-3x+1 11) y = 2x+11x-6 x+2x-24 12) y x+6x-10 2x-4 Directions: Find the information need and sketch. Include all relevant information on your graph. 13) y = = 9 x+1 Hole/Vertical Asymptotes: Y-Int: Horizontal/Slant Asymptote: 10+ -9 -8 7+ 6- -5+ 4 3. 2 1- X-int: -10-9 -8 -7 -6_ -3--2- + 3. 7_8 9_10 PreCalculus: Pd.5 - PreCalculus S PreCalculus: Pd.5 - PreCalculus X S PreCalculus: Pd.5 - PreCalculus X C O File /Users/zoenewman/Downloads/Unit_6_Review_p_25-26%20(4).pdf SMCPS Bookmarks PC Unit 6 Packets - Rational Functions.pdf 1 APPLICATION Unit 6 Review | Schoology PC Unit 6 Packets - Rational Fu X PC Unit 6 Packets - Rational Fu X PC Unit 7 Packets - Exp and Lo X 1 / 2 - 110% + 2) 1 n+8n+12 = 3n+2 n+2 + 6 n+8n+12 Directions: Solve each equation. Remember to check for extraneous solutions. 1) x+x-6 x+1 6 = 6 - x+1 Directions: Simplify. 325X + 3834 2 3) 3x I x 2 + 5) x+5 3x-7 x-x-5 4) 4 +1 x+5 Directions: Find each value and graph. x-4 6) = x-9 Hole/Vertical Asymptotes: Y-Int: Horizontal/Slant Asymptote: 10+ -8- 7- 6+ 5. 4 3 2 1 X-int: -10-9--8-7--6--5--4--3--2-- -6 -8 -9 -10- Course Hero 2. 3 4 5 6_7 8_9_10 PreCalculus: Pd.5 - PreCalculus S PreCalculus: Pd.5 - PreCalculus X S PreCalculus: Pd.5 - PreCalculus X C O File /Users/zoenewman/Downloads/Unit_6_Review_p_25-26%20(4).pdf SMCPS Bookmarks PC Unit 6 Packets - Rational Functions.pdf -9-- 1 APPLICATION 2 Unit 6 Review | Schoology PC Unit 6 Packets - Rational Fu X PC Unit 6 Packets - Rational Fu X PC Unit 7 Packets - Exp and Lo X 2 / 2 - 110% + | DIRECTIONS: Translate each statement into an equation using k as the constant of variation. 7) Y varies directly with p and q and inversely with the square root of z. Directions: Solve each. 8) The amount of students passing Bean's class, S, varies directly with the square of hours he makes packets, P, and inversely with the amount of students who don't do homework over the weekend, H. If 18 students are passing Bean's class when he works 12 hours and has 24 kids who didn't do homework, then how many students are passing when he spends 16 hours on packets and has only 16 kids who didn't do homework? APPLICATION 9) RATIONALIZING THE NUMERATOR a) What is the excluded value for the rational function, f(x) = = b) Rationalize by multiplying by the conjugate of the numerator. x-25 What value does the function now approach, as x approaches the excluded value you found in part A? - 10) FINDING THE DERIVATIVE. In Calculus the definition of a derivative is f'(x) Let f(x) = 4x+10x 2 f(x+h)-f(x) = limo h a) Plug f(x) and f(x+h) into the derivative formula and simplify. b) Reduce your simplified function by factoring our a common factor of h. What is the derivative of f(x)? Course Hero PreCalculus: Pd.5 - PreCalculus S PreCalculus: Pd.5 - PreCalculus X S 6-3 Graphing Rational Function X PC Unit 6 Packets - Rational Fu X PC Unit 7 Packets - Exp and Lo X Course Hero C O File /Users/zoenewman/Downloads/6-3_Graphing_Rational_Functions_p_15-16%20(6).pdf SMCPS Bookmarks PC Unit 6 Packets - Rational Functions.pdf SUMMARY REVIEW SKILLZ 6.3 Graphing Rational Functions PRACTICE uy ny ny 1 2 Now, summarize your notes here! 1 / 2 - 125% + You try! y: = x - 4x - 12 x2+5x+6 Hole/Vertical Asymptotes: Y-Int: X-int: Horizontal/Slant Asymptote: SUMMARY: -10-9 10+ -9+ -8+ 7+ 6+ -5+ 4+ 3 2 -5 -8. REVIEW SKILLZ 3) (4h-5)3 4) Directions: Simplify. Use only positive exponents. 1) 5x-4 (6x-3) 2) 15y7 20y14 6.3 Graphing Rational Functions 8_9_10 (3n13.4m-8-5-3 (mn-3)2 PRACTICE 1 x-6x-16 Directions: Find any holes or vertical asymptotes. 1) y = 2) y = 2x+11x-6 x+2x-24 3) y = 2x-6x 9x-3x PreCalculus: Pd.5 - PreCalculus S PreCalculus: Pd.5 - PreCalculus X S 6-3 Graphing Rational Function X PC Unit 6 Packets - Rational Fu X PC Unit 7 Packets - Exp and Lo X Course Hero C O File /Users/zoenewman/Downloads/6-3_Graphing_Rational_Functions_p_15-16%20(6).pdf SMCPS Bookmarks PC Unit 6 Packets - Rational Functions.pdf SUMMARY REVIEW SKILLZ 6.3 Graphing Rational Functions PRACTICE ny ny 1 2 2 / 2 - 100% + Directions: Find the x- and y-intercept(s) 2x-3 4) y = 4x+5 5) y: = 6x+x-12 x-13x-40 6) y = x+x-30 x-8x+15 Directions: Find any horizontal asymptotes. 4x+7x-12 7) y = 2x-7 8) y 3 = 8x-3 2x+9 9) y = = 3x-4x+9 4x3+8x2-10x+1 Directions: Find the slant asymptote (if it exists). 6x3+8x-7x 10) y = 2x-3x+1 11) y = 2x+11x-6 x+2x-24 12) y x+6x-10 2x-4 Directions: Find the information need and sketch. Include all relevant information on your graph. 13) y = = 9 x+1 Hole/Vertical Asymptotes: Y-Int: Horizontal/Slant Asymptote: 10+ -9 -8 7+ 6- -5+ 4 3. 2 1- X-int: -10-9 -8 -7 -6_ -3--2- + 3. 7_8 9_10 PreCalculus: Pd.5 - PreCalculus S PreCalculus: Pd.5 - PreCalculus X S PreCalculus: Pd.5 - PreCalculus X C O File /Users/zoenewman/Downloads/Unit_6_Review_p_25-26%20(4).pdf SMCPS Bookmarks PC Unit 6 Packets - Rational Functions.pdf 1 APPLICATION Unit 6 Review | Schoology PC Unit 6 Packets - Rational Fu X PC Unit 6 Packets - Rational Fu X PC Unit 7 Packets - Exp and Lo X 1 / 2 - 110% + 2) 1 n+8n+12 = 3n+2 n+2 + 6 n+8n+12 Directions: Solve each equation. Remember to check for extraneous solutions. 1) x+x-6 x+1 6 = 6 - x+1 Directions: Simplify. 325X + 3834 2 3) 3x I x 2 + 5) x+5 3x-7 x-x-5 4) 4 +1 x+5 Directions: Find each value and graph. x-4 6) = x-9 Hole/Vertical Asymptotes: Y-Int: Horizontal/Slant Asymptote: 10+ -8- 7- 6+ 5. 4 3 2 1 X-int: -10-9--8-7--6--5--4--3--2-- -6 -8 -9 -10- Course Hero 2. 3 4 5 6_7 8_9_10 PreCalculus: Pd.5 - PreCalculus S PreCalculus: Pd.5 - PreCalculus X S PreCalculus: Pd.5 - PreCalculus X C O File /Users/zoenewman/Downloads/Unit_6_Review_p_25-26%20(4).pdf SMCPS Bookmarks PC Unit 6 Packets - Rational Functions.pdf -9-- 1 APPLICATION 2 Unit 6 Review | Schoology PC Unit 6 Packets - Rational Fu X PC Unit 6 Packets - Rational Fu X PC Unit 7 Packets - Exp and Lo X 2 / 2 - 110% + | DIRECTIONS: Translate each statement into an equation using k as the constant of variation. 7) Y varies directly with p and q and inversely with the square root of z. Directions: Solve each. 8) The amount of students passing Bean's class, S, varies directly with the square of hours he makes packets, P, and inversely with the amount of students who don't do homework over the weekend, H. If 18 students are passing Bean's class when he works 12 hours and has 24 kids who didn't do homework, then how many students are passing when he spends 16 hours on packets and has only 16 kids who didn't do homework? APPLICATION 9) RATIONALIZING THE NUMERATOR a) What is the excluded value for the rational function, f(x) = = b) Rationalize by multiplying by the conjugate of the numerator. x-25 What value does the function now approach, as x approaches the excluded value you found in part A? - 10) FINDING THE DERIVATIVE. In Calculus the definition of a derivative is f'(x) Let f(x) = 4x+10x 2 f(x+h)-f(x) = limo h a) Plug f(x) and f(x+h) into the derivative formula and simplify. b) Reduce your simplified function by factoring our a common factor of h. What is the derivative of f(x)? Course Hero