Graphing absolute value functions unit 1
I can graph a linear function using various graphing methods. KEY CONTENT: I can solve a real-life problem by writing and solving an appropriate linear equation and inequality. I can graph a linear function using various graphing methods. https://www.brightstorm.com/math/algebra/absolut e-value/shifts-in-absolute-value-graphs/
Absolute value parent function
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Independent practice
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guided practice u1a8 Example 18 The front of a camping tent an be modeled by the function, where x and y are measured in feet and the x-axis represents the ground.
guided practice u1a8 Example 18 Graph the function, on a graphing calculator. Identify and interpret the domain and range of the function in the given context.
guided practice u1a8 Example 18 Identify and interpret the domain and range of the function in the given context. Domain: The tent is five feet wide. Range: The tent is 3.5 feet tall.
independent practice u1a8 Example 19 A boy band’s new single is released. Weekly sales s (in thousands) increase steadily for a while and then decrease as given by the function, where t is the time (in weeks). Graph the function on a graphing calculator. What is the maximum number of singles sold in one week?
independent practice u1a8 Example 19 Graph the function on a graphing calculator. What is the maximum number of singles sold in one week? 40,000 singles
Checking for understanding… u1a8 Example 20 Perform the following transformation. Then write a rule for the graph of the function. Reflect across the x-axis.
Checking for understanding… u1a8 Example 20 Reflect across the x-axis.
Checking for understanding… u1a8 Example 21 Write your response in your notebook. What is the domain and range of the function ? Explain why the range is limited.
Checking for understanding… u1a8 Example 21 What is the domain and range of the function ? Domain: Range: Explain why the range is limited. The range must be equal to or greater than zero because the absolute value of any non-zero number is always positive.
Checking for understanding… u1a8 Example 22 Discuss your answer with a classmate. When writing a function, what is the difference between shifting three units to the right and three units to the left?
Checking for understanding… u1a8 Example 23 Write your response in your notebook. Given the graph of the function is shifted four units to the left, six units upward and reflects across the x-axis, identify the coordinates of the vertex.
Checking for understanding… u1a8 Example 23 Given the graph of the function is shifted four units to the left, six units upward and reflects across the x-axis, identify the coordinates of the vertex. (-4,6)