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Download Linear, Absolute Value/ Review Name: Skill/Concept Examples
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Linear, Absolute Value/ Review Multi-representations Interpret linear functions Graph linear equations & inequalities Skill/Concept Examplesācomplete each example on a separate piece of paper. Graph the linear equations or inequalities. For each equation, identify domain and range. 1 2. 6š„ ā 5š¦ = 10 1. š(š„) = ā 4 š„ + 3 ļ¶ y Domain ļ¶ y ļµ Domain ļµ ļ“ ļ³ ļ² ļ± x ļļ± ļļµ ļļ“ ļļ³ ļļ² ļļ± ļļ² ļļ³ ļļ“ ļļµ ļļ¶ Range ļ¶ ļµ ļ“ ļ³ ļ² ļ± ļļ± ļļµ ļļ“ ļļ³ ļļ² ļļ± ļļ² ļļ³ ļļ“ ļļµ ļļ¶ ļ“ ļ³ ļ² ļ± ļļ± ļļµ ļļ“ ļļ³ ļļ² ļļ± ļļ² ļļ³ ļļ“ ļļµ ļļ¶ ļ± ļ² ļ³ ļ“ ļµ 3. š¦ < 3š„ + 3 x Range ļ± ļ² ļ³ ļ“ ļµ 4. 2š„ ā 4š¦ = ā12 y Domain x ļ± ļ² ļ³ ļ“ ļµ Range ļ¶ ļµ ļ“ ļ³ ļ² ļ± ļļ± ļļµ ļļ“ ļļ³ ļļ² ļļ± ļļ² ļļ³ ļļ“ ļļµ ļļ¶ Domain y x Range ļ± ļ² ļ³ ļ“ ļµ Find the slope, x-intercept, and y-intercept of each. 3 6. 3x + 5y = 5 5. š¦ = ā 4 š„ ā 9 m= ________ x-int ( , ) y-int ( , ) m= ________ x-int ( , ) y-int ( , ) 7. Which representation of this situation doesnāt match the others? Jim pays $30 plus 5 cents per text. x 5 10 c(x) $30.25 $30.50 ļ“ļµ 15 $30.75 20 $31.00 y ļ“ļ° ļ³ļµ ļ³ļ° š(š„) = 1 š„ + 30 20 ļ²ļµ ļ²ļ° ļ±ļµ ļ±ļ° ļµ Write the equation of a line given a point and the slope (book 2-4) Name:___________________________________________ x 8. Write the equation in slope-intercept form for the line with slope -2 that passes through (-4, 5) 9. Write an equation of the line that Write the equation of a line given2 points (book 2-4) 11. Write an equation for the line that passes through the points (8, -5) and (-3, 10) Graph absolute value equations and inequalities. Identify domain & range. Write the equation of a line given a point and a line that is parallel or perpendicular to it (book 2-4) 10. Write the equation in slope-intercept form for the line that Graph each. For each equation, identify domain and range. 12. š¦ < ā|š„ ā 3| + 5 13. š¦ = |3š„| ā 2 y Domain ļ¶ ļ¶ y ļµ ļ“ ļ³ ļ² ļ± x ļļ± ļļµ ļļ“ ļļ³ ļļ² ļļ± ļļ² ļļ³ ļļ“ ļļµ ļļ¶ Range ļ± ļ² ļ³ ļ“ ļµ 14. š¦ = 2|š„ + 2| ļ¶ ļµ ļ“ ļ³ ļ² ļ± ļµ ļ“ ļ³ ļ² ļ± x ļ¶ ļµ ļ“ ļ³ ļ² ļ± Range ļļ± ļļµ ļļ“ ļļ³ ļļ² ļļ± ļļ² ļļ³ ļļ“ ļļµ ļļ¶ ļ± ļ² ļ³ ļ“ ļµ Review topics: 2. 1. x Range ļ± ļ² ļ³ ļ“ ļµ 15. š¦ ā„ |š„ + 2| ā 4 Domain y ļļ± ļļµ ļļ“ ļļ³ ļļ² ļļ± ļļ² ļļ³ ļļ“ ļļµ ļļ¶ ļļ± ļļµ ļļ“ ļļ³ ļļ² ļļ± ļļ² ļļ³ ļļ“ ļļµ ļļ¶ Domain Domain y x Range ļ± ļ² ļ³ ļ“ ļµ 3. Solve linear equations (1-3) 4. 5. Solve absolute value equations (1-4) Solve absolute value inequalities and graph the solution set (1-6) Evaluate and compose functions (6-1) Determine whether or not a relation Is a function (2-1) Determine the domain and range of a relation 6. 7. Let f (x) = 2x 2 - x +1 Find and simplify and 12. -2f(3) + g(1) g(x) = 4x + 3 16. f(g(-2)), Given a discrete or continuous graph, table, mapping diagram or a list of ordered pairs: ļ· determine whether or not the relation is a function ļ· find the domain and range
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