# Lesson 2Piece-WiserSolidify Understanding

Solve each equation.

### 12.

Explain why the equation has no solution.

## Set

State the domain and range of the piecewise functions in each graph below. Use interval notation.

Domain:

Range:

### 14.

Domain:

#### b.

Range:

Use the given piecewise function to answer the questions and sketch a graph.

### 15.

Find .

Find .

Find .

Find .

#### e.

Sketch a graph of this function.

### 16.

Find .

Find .

Find .

Find .

#### e.

Sketch a graph of this function.

Write the piecewise equations for the given graphs.

## Go

Beginning with the parent function , write the equation of the new function, , that is a transformation of as described. Then graph it.

### 19.

Shift left units, stretch vertically by , reflect vertically, and shift down units.

### 20.

Shift right , stretch vertically by , and shift up units.

### 21.

Shift up units, left , reflect vertically, and stretch by .