Lesson 7 Piece Out Practice Understanding

Ready

Identify the rate of change (include units).

1.

A maintenance company charges its customers using the following rule based on hours worked.

2.

Sasha just started a new job that pays a sign-up bonus for taking the job and will pay per hour.

3.

A leaky faucet is allowing of a gallon of water to leak into the drain each hour.

4.

A bank account has regular withdrawals each month. The balance of the account is modeled with the following rule.

5.

The graph shows the value of a house over time.

A coordinate plane with a horizontal axis labeled “Time in years,” going from 0 to 10 years. The vertical axis is labeled “Value in $1000s” and goes from 0 to 10 thousand dollars. The graph is continuous beginning at (0, 8), going to (10, 3) time (yrs)555101010value($) in 1000s555101010000

Set

Describe the transformations on the parent function , indicated by each equation. Then graph the function.

6.

A blank coordinate plane –10–10–10–5–5–5555101010–10–10–10–5–5–5555101010000

7.

A blank coordinate plane –10–10–10–5–5–5555101010–10–10–10–5–5–5555101010000

8.

A blank coordinate plane –10–10–10–5–5–5555101010–10–10–10–5–5–5555101010000

9.

A blank coordinate plane –10–10–10–5–5–5555101010–10–10–10–5–5–5555101010000

Create an absolute value equation for each function graphed below.

10.

A segment enters the grid at (-9, 0) ascends to (-2, 7). The second segment begins at (-2, 7) and descends to (3, -3) where it exits the grid x–5–5–5555y–5–5–5555000

11.

A segment enters the grid at (-4, 6) descends to (5, -3). The second segment begins at (5, -3) and ascends to (6, 3) where it exits the grid x–5–5–5555y–5–5–5555000

Find the inverse of each function.

12.

13.

14.

15.

16.

Write the piecewise function rule for the following absolute value functions.

17.

18.

Find the inverse of each function and graph it on the grid. (Hint: Use a table if needed.)

19.

a blank 17 by 17 grid

20.

a blank 17 by 17 grid

Go

Write the piecewise function rule for each graph.

21.

A segment begins at closed endpoint (-7, 1) and continues to closed endpoint (-4, 1). The second segment begins at closed endpoint (-2, 2) and continues to closed endpoint at (1, 2). The third segment begins at closed endpoint (3, 3) and continues to closed endpoint at (6, 3). x–5–5–5555y–5–5–5555000

22.

A segment begins at closed endpoint (-7, 4) and descends to (-2, 3). From (-2, 3) it descends to (0, 0). From (0, 0) it ascends to (2, 3). From (2, 3) where it ascends to endpoint closed endpoint (7, 4) x–5–5–5555y–5–5–5555000

Create the graph for the given piecewise function.

23.

a blank 17 by 17 grid

24.

a blank 17 by 17 grid