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**Name:__________ warm-up 2-8**

Identify the type of function represented by the graph. Graph f(x) = |x + 2|. Identify the domain and range.

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**Graph g(x) = –x2 – 1. Identify the domain and range.**

Which function below is a constant function? A. f(x) = –x2 B. f(x) = –4 C. f(x) = –x3 + 4 D.

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**Details of the Day Activities: Graph linear inequalities. EQ:**

Why are both equations and inequalities needed to describe the solutions to a real-world problem? What are the different ways that slope can be used to represent various concepts? I will be able to… Activities: Warm-up Review homework Notes: Class work/ HW Vocabulary: Graph linear inequalities. . Graph absolute value inequalities. linear inequality boundary

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**2-8Graphing Linear and Absolute Value Inequalities**

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**A Quick Review Identify the type of function represented by the graph.**

Graph f(x) = |x + 2|. Identify the domain and range.

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**A Quick Review Graph g(x) = –x2 – 1. Identify the domain and range.**

Which function below is a constant function? A. f(x) = –x2 B. f(x) = –4 C. f(x) = –x3 + 4 D.

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Notes and examples Graph x – 2y < 4 graph 2x + 5y > 10

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Notes and examples A. EDUCATION One tutoring company advertises that it specializes in helping students who have a combined score on the SAT that is 900 or less. Write an inequality to describe the combined scores of students who are prospective tutoring clients. Let x represent the verbal score and y the math score. Graph the inequality. B. Does a student with verbal score of 480 and a math score of 410 fit the tutoring company’s guidelines?

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Notes and examples A. CLASS TRIP Two social studies classes are going on a field trip. The teachers have asked for parent volunteers to also go on the trip as chaperones. However, there is only enough seating for 60 people on the bus. What is an inequality to describe the number of students and chaperones that can ride on the bus? B. Can 15 chaperones and 47 students ride on the bus?

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Notes and examples

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Warm UpFeb. 4 th 1. Determine whether each function is one-to-one. a) 2x 3 – 3xb) 6x + 14c) x x – 1 2. Find the inverse relation of y = 6x + 5 3x.

Warm UpFeb. 4 th 1. Determine whether each function is one-to-one. a) 2x 3 – 3xb) 6x + 14c) x x – 1 2. Find the inverse relation of y = 6x + 5 3x.

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