Lesson 2 Piece-Wiser Solidify Understanding

Ready

Solve each equation.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

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.

13.

A continuous graph composed of three line segments beginning at closed endpoint (-2, 6) going to (1, -3) then to (5, 1) then to closed endpoint at (7, 0) x–4–4–4–2–2–2222444666888y–4–4–4–2–2–2222444666000

a.

Domain:

b.

Range:

14.

A continuous graph beginning at closed endpoint (-3, 1) and going straight to (0, -2). From (0, -2) the graph goes straight to (4, 2), where it then curves down to (6, 0) x–4–4–4–2–2–2222444666y–4–4–4–2–2–2222444000

a.

Domain:

b.

Range:

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

15.

a.

Find .

b.

Find .

c.

Find .

d.

Find .

e.

Sketch a graph of this function.

A blank coordinate plane

16.

a.

Find .

b.

Find .

c.

Find .

d.

Find .

e.

Sketch a graph of this function.

A blank coordinate plane

Write the piecewise equations for the given graphs.

17.

A coordinate plane with a segment of a linear function with the slope of negative 2 between points (0,1) and (3,-5). A second segment of a different linear function with a slope of 1 over 4 between points of (4,-1) and (8,0) is also graphed. x222444666888y–4–4–4–2–2–2222000

18.

Graph of a line segment with closed endpoints at (1, -1) and (3, 7) and a second line segment with closed endpoints at approximately (3.5, 1) and (7, 0.5) x222444666888101010y–2–2–2222444666888000

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.

a blank 17 by 17 grid

20.

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

a blank 17 by 17 grid

21.

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

a blank 17 by 17 grid