Download presentation

Presentation is loading. Please wait.

1
**Problems on Absolute Values**

2
**Mika Seppälä: Problems on Absolute Values**

Equations Solve the following equations: 1 |2x – 8| = 2. 2 |1 – |x|| = 3. 3 |1 – x| + 2|x2 – 1| = 0. 4 |2 – x| + |x2 – 4| = 4. Mika Seppälä: Problems on Absolute Values

3
**Mika Seppälä: Problems on Absolute Values**

Inequalities Solve the following inequalities: 5 |3x – 7| ≤ 2. 6 |1 – x| + |x+1| ≤ 3. 7 |2 –|x|| ≤ 1 Mika Seppälä: Problems on Absolute Values

4
**Mika Seppälä: Problems on Absolute Values**

Graphs Sketch the graphs of the following functions on the given intervals: 8 f(x) = |1 – |x – 1||, -1 ≤ x ≤ 3 9 g(x) = |1 – |x – 3| + |x – 1|| , 0 ≤ x ≤ 4 10 h(x) = ||x2 – 4| – 5|, -4 ≤ x ≤ 4 Mika Seppälä: Problems on Absolute Values

5
**Mika Seppälä: Problems on Absolute Values**

Challenge Problems 11 For which value of the parameter r the equation |x – 2| + |x – 4| = r has infinitely many solutions? Interpret the problem geometrically. Find these solutions. 12 Show that x2 + 1 ≥ 2|x| for all x. Mika Seppälä: Problems on Absolute Values

Similar presentations

OK

Warm Up. Solve and Graph Absolute Value Inequalities Essential Question: How do you solve an absolute value inequality?

Warm Up. Solve and Graph Absolute Value Inequalities Essential Question: How do you solve an absolute value inequality?

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on training and placement cell project Ppt on hydro power plant Ppt on arc flash Ppt on crash fire tender training Ppt on network security attacks Ppt on conceptual art examples Ppt on event driven programming visual basic Pps to ppt online Conceptual architecture view ppt on android Ppt on conservation of momentum experiment