GRAPHING ABSOLUTE VALUE FUNCTIONS UNIT 1 DAY 4

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/abs olute-value/shifts-in-absolute-value-graphs/

ABSOLUTE VALUE PARENT FUNCTION

GUIDED PRACTICE EXAMPLE 1

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INDEPENDENT PRACTICE

GUIDED PRACTICE EXAMPLE 13

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INDEPENDENT PRACTICE EXAMPLE 16

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GUIDED PRACTICE 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

GUIDED PRACTICE EXAMPLE 18 Graph the function, graphing calculator. on a Identify and interpret the domain and range of the function in the given context.

GUIDED PRACTICE 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 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 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… EXAMPLE 20 Perform the following transformation. Then write a rule for the graph of the function. Reflect across the x-axis.

CHECKING FOR UNDERSTANDING… EXAMPLE 20 Reflect across the x-axis.

CHECKING FOR UNDERSTANDING… 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… 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

CHECKING FOR UNDERSTANDING… EXAMPLE 22 Discuss your answer with a classmate. When writing the equation of a function, what is the difference between shifting three units to the right and three units to the left?

CHECKING FOR UNDERSTANDING… 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… 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)