II. Find the vertex, domain, range, and describe each transformation for the absolute value function. Equation Description of Transformation in words Domain Range III. Graph and give the domain, and range. (LABEL 3 points on your graph) A. B.
Real Numbers & Sets, Properties, Expressions, Equations, Inequalities, Absolute Value. 1.1 Sets of Numbers. Real Numbers (R)
A system with perfect order: a perfect crystal at absolute zero (-273oC = 0 K). A perfect crystal has no defects (gaps, misaligned molecules, etc.) At absolute zero, there is no molecular motion so every molecule is in a perfectly well-defined position. Notice that the unit for entropy is the same as the unit for heat capacity (J/K or J/oC).
Packet 20: Solving Fractional Equations. Example: Step 1: Find the least common denominator. The least common denominator is _____ Step 2: Multiply every term in the equation by the least common denominator. Step 3: Reduce each term to create a “denominator free” equation. Step 4: Solve for the variable using the steps to solve an equation
Absolute Value Equations & Inequalities. Since absolute value represents distance, it can never be negative. When solving for |a| = b, 2 solutions a = b and a = -b. When solving for |a| < b, solving for –b < a < b. When solving for |a| > b, solving for a < -b or a > b. Example: Solving Absolute Value Equations. Solve the following equations.
Absolute Value—reflected over the x axis and translated down 3. Radical—vertical compression by a factor of & translated right . Linear---vertical stretch of 8 and translated up 2. Cubic—translated left 1 and up 9. Rational ---reflected over the x axis, translated down 3
MMA UNIT 3-1 Parent Function Review Name _____Pd____ Match the name & equation to the graph. Names: A) absolute value B) cubic C) linear D) quadratic E) radical
Absolute Value Complete the following tables and answer the questions to the right. (a) ... Identify the following equations as linear, quadratic or exponential. 1. y = 4x + 6 2. 3. y = 4. y = -2(4)x. 5. y = 3x +3 6. This function is. linear quadratic exponential What methods can you use to …
Absolute Value Inequalities. Solving absolute value inequalities combine the strategies you used in: 1) Solving and Graphing Compound Inequalities 2) Solving Absolute Value Equations. Every absolute value inequality is a compound inequality. The 2 separate inequalities come from when you split the inequality once the absolute value is isolated.
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