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(-6, 8) (3, 6) (-4, 6) (5, 2)

(-6, 8) (3, 6) (-4, 6) (5, 2)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem 22: Piecewise Function** - **Description:** Write the piecewise function including the domain and state the range. Use algebraic notation for the domain. - **Graph Explanation:** - The graph shows a two-segment piecewise linear function. - Segment 1: From \((-6, 8)\) to \((-4, 6)\), the line is horizontal. - Segment 2: From \((3, 6)\) to \((5, 2)\), the line slopes downwards. - **Points:** - Segment 1: \((-6, 8)\) to \((-4, 6)\) - Segment 2: \((3, 6)\) to \((5, 2)\) **Problem 23: Absolute Value Function** - **Description:** State the domain and range for this absolute value function using interval notation. - **Graph Explanation:** - The graph resembles a V-shape typical of an absolute value function. - The vertex of the V is at \((-2, -3)\). - The V opens upwards. - **Key Points:** - \((-7, 0)\) - \((-2, -3)\) - \((4, 1)\) **Problem 24: Linear Function** - **Description:** Use set-builder notation to state the domain and range. - **Graph Explanation:** - The graph shows a straight line that passes through the origin and extends diagonally. - This is a typical representation of a linear function with a positive slope. - **Key Observation:** The line extends indefinitely in both positive and negative directions through the origin on the coordinate plane.
Transcribed Image Text:**Problem 22: Piecewise Function** - **Description:** Write the piecewise function including the domain and state the range. Use algebraic notation for the domain. - **Graph Explanation:** - The graph shows a two-segment piecewise linear function. - Segment 1: From \((-6, 8)\) to \((-4, 6)\), the line is horizontal. - Segment 2: From \((3, 6)\) to \((5, 2)\), the line slopes downwards. - **Points:** - Segment 1: \((-6, 8)\) to \((-4, 6)\) - Segment 2: \((3, 6)\) to \((5, 2)\) **Problem 23: Absolute Value Function** - **Description:** State the domain and range for this absolute value function using interval notation. - **Graph Explanation:** - The graph resembles a V-shape typical of an absolute value function. - The vertex of the V is at \((-2, -3)\). - The V opens upwards. - **Key Points:** - \((-7, 0)\) - \((-2, -3)\) - \((4, 1)\) **Problem 24: Linear Function** - **Description:** Use set-builder notation to state the domain and range. - **Graph Explanation:** - The graph shows a straight line that passes through the origin and extends diagonally. - This is a typical representation of a linear function with a positive slope. - **Key Observation:** The line extends indefinitely in both positive and negative directions through the origin on the coordinate plane.
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Algebra homework question answer, step 1, image 1

Here we make 3 functions 

First we start with x=-6 to x=-4

we frame a linear equation y=mx+b. it is a line

find out slope m using formula

m=y2-y1x2-x1(-6,8) and (-4,6)m=6-8-4+6=-1

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