can you find the pattern?. 3-2 solving by graphing objective: to find the root/solution/zero of a...
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Can you find the pattern?
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3-2 Solving by Graphing
Objective: to find the root/solution/zero of a linear equation by graphing.
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Vocabulary
• Root/ Zeros/ Solutions: the solutions of a equations; x-intercepts.
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Linear Function
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Example 1 B
B. Solve
Method Solve by graphing. Using the x and y intercepts.
12 33
y x
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Example 1 B
Answer: So, the solution is –3.
The graph intersects the x-axis at –3.
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TOO
A. x = –4
B. x = –9
C. x = 4
D. x = 9
Solve for the solution to the linear equation.2
2 43
y x
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Let’s try together
A. x = 4; B. x = –4;
C. x = –3; D. x = 3;
Graph using the x and y intercepts. 3
6 94
y x
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What type of line would have no solution?
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Come up with a line of your own that has no solution?
Hmmm….
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Example 3FUNDRAISING Kendra’s class is selling greeting cards to raise money for new soccer equipment. They paid $115 for the cards, and they are selling each card for $1.75. The function y = 1.75x – 115 represents their profit y for selling x greeting cards. Find the zero of this function. Describe what this value means in this context.
The graph appears to intersect the x-axis at about 65.
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Example 3 Estimate by Graphing
Answer: The zero of this function is about 65.71. Since part of a greeting card cannot be sold, they must sell 66 greeting cards to make a profit.
0 = 1.75x – 115 Replace y with 0.
y = 1.75x – 115 Original equation
115 = 1.75x Add 115 to each side.
65.71 ≈ x Divide each side by 1.75.
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Homework
3-2 Worksheet