Solving Equations Graphically

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Presentation transcript:

Solving Equations Graphically Section 2.1 Pre-Calculus AB Pre-AP/Dual, Revised ©2014 viet.dang@humble.k12.tx.us 11/22/2018 7:11 PM 2.1: Solving Equations Graphically

2.1: Solving Equations Graphically Key Terms Solution is an equation of a number that produces a statement Zero is an input of where the graph function crosses the x-axis Intersection is where two graphs meet (DOES NOT HIT THE X-AXIS) 11/22/2018 7:11 PM 2.1: Solving Equations Graphically

2.1: Solving Equations Graphically Intersection Method Plug in the one side of the equation into Y1 and the other equation into Y2 = 0. Press [2nd], TRACE, [5] or INTERSECT. The calculator asks you 2 questions: FIRST CURVE and SECOND CURVE. Then it says, “GUESS”. Arrow to an answer you want then press [ENTER]. Write answer as a SOLUTION SET. Think of this: [2nd] [TRACE] [5] [ENTER] [ENTER] [ENTER] 11/22/2018 7:11 PM 2.1: Solving Equations Graphically

2.1: Solving Equations Graphically Example 1 Solve f(x) = –2x3 + 3x2 = –3 11/22/2018 7:11 PM 2.1: Solving Equations Graphically

2.1: Solving Equations Graphically Example 2 Solve x3 + 9 = 3x2 + 6x 11/22/2018 7:11 PM 2.1: Solving Equations Graphically

2.1: Solving Equations Graphically Your Turn Solve f(x) = x4 – 3x3 + 2x2 –1 11/22/2018 7:11 PM 2.1: Solving Equations Graphically

2.1: Solving Equations Graphically Example 3 Solve |x2 – 4x – 3| = x3 + x – 6 11/22/2018 7:11 PM 2.1: Solving Equations Graphically

2.1: Solving Equations Graphically Your Turn Solve |x3 + 2| = –x2 + x + 5 11/22/2018 7:11 PM 2.1: Solving Equations Graphically

2.1: Solving Equations Graphically Example 3 Solve |x2 – 4x – 3| = x3 + x – 6 11/22/2018 7:11 PM 2.1: Solving Equations Graphically

2.1: Solving Equations Graphically Example 4 Solve 𝒙 𝟒 +𝟐 𝒙 𝟐 −𝟐𝒙−𝟏 =𝟎 11/22/2018 7:11 PM 2.1: Solving Equations Graphically

2.1: Solving Equations Graphically Example 5 Solve 𝒙 𝟐 −𝟏 − 𝒙+𝟗 =𝟎 11/22/2018 7:11 PM 2.1: Solving Equations Graphically

2.1: Solving Equations Graphically Example 6 Solve 𝟐𝒙 𝟐 −𝒙−𝟑 𝟖𝒙 𝟐 −𝟕𝒙−𝟒 =𝟎 11/22/2018 7:11 PM 2.1: Solving Equations Graphically

2.1: Solving Equations Graphically Your Turn Solve 𝟑𝒙 𝟓 −𝟏𝟓𝒙+𝟓 𝒙 𝟕 −𝟖 𝒙 𝟓 +𝟐 𝒙 𝟐 −𝟓 =𝟎 11/22/2018 7:11 PM 2.1: Solving Equations Graphically

2.1: Solving Equations Graphically Assignment Page 87 3-29 EOO, 31 11/22/2018 7:11 PM 2.1: Solving Equations Graphically