Piecewise Review

Unit Review: PW, AB, Systems

Review and self-assessment

On your upcoming test:

• Absolute Value Equations

• Absolute Value Inequalities

• Piecewise Functions

• Systems of Equations/Inequalities

Multiple Choice

Which absolute value equation correctly models the situation:

A number x is exactly 4 units from the number 7.

• |x - 7| = 4

• |x - 4| = 7

• |7 - 4| = x

• none of these

Multiple Choice

Solve for c:

|c| = 3

• 3

• -3

• 3 and -3

• no solution

Multiple Choice

Solve for x:

2|x + 5|=12

• 1 and -1

• only 1

• 1 and -11

• 11 and -1

Multiple Select

Solve:

$$2-5\left|5m-5\right|=-73$$

(Check all values that are a solution.)

• m = -2

• m = 2
  

• m = 4

• No solution, it can't be negative!

• m = -4

Multiple Choice

Solve:

|x + 3| > 8

• x > 5 or x < -11

• x > 5

• all real numbers

• no solution

Multiple Choice

• no solution

• -6 ≤ r ≥ 8

• 6 > r > -8

• -6 < r < 8

Multiple Choice

Which graph represents the solution to the absolute-value inequality:

I 2x - 11 I < 21

Multiple Choice

Solve:

$$5-\left|x\right|=6$$  

• 1

• -2

• no solution

Multiple Choice

Using the pictured graph, what is f(-3)? 

• -3
• -1
• 1
• 3

Multiple Choice

What are the domain restrictions for the green piece of this function?

• -2 < x ≤ 1

• -1 < x ≤ 0.5

• x > -2

• x ≤ 1

Multiple Choice

If a lawyer charges $120 an hour (or any fraction of an hour), how much is a bill for 3 hours and 20 minutes?

• $420
• $480
• $400
• $360

Multiple Choice

Over which domain interval is the function behaving like a linear function?

• x > 2
• x ≥ 2
• x ≤ 2
• x < 2

Multiple Choice

f(0) =

• -2

• -1

• 0

• 1

• 2

Multiple Choice

f(1) =

• -2

• -1

• 0

• 1

• 2

Multiple Choice

What is f(-2)?

• 4

• 1

• 1

• DNE

Multiple Choice

Please find

$$f\left(2\right)$$  

• 0
  

• 4

• -1

• -8

Multiple Choice

Please find

$$f\left(-6\right)$$  

• 5
  

• 22

• -9

• undefined

Multiple Choice

Please find

$$f\left(8\right)$$  

• 5
  

• -6

• 10

• undefined

Multiple Choice

Which equation would you use to find

$$f\left(29\right)$$  

• Top

• Middle

• Bottom