Lesson 4 Water Wonderland Solidify Understanding

Ready

Solve the equations.

1.

2.

3.

4.

5.

6.

7.

The graph models potential business growth for two companies. Both companies are just getting started and Company A expects growth to increase at an increasing rate while Company B expects growth to increase at a constant rate.

a coordinate plane where the x axis is time in years and the y axis is profits ($ made). there is an exponential function and a linear function representing Company A and B Time (Years)222444666888101010121212141414Profits ($ made)–1000–1000–1000–500–500–500500500500100010001000150015001500200020002000250025002500300030003000000Company ACompany B

a.

Estimate when, if ever, will the companies have the same profit. How do you see this in the graph?

b.

Which company has higher profits at the end of the comparison? How do you see this on the graph?

c.

What are the -intercepts? What do these mean in terms of making money?

d.

When does Company A start making money? How do you know this from the graph?

e.

If you were able to invest in either of these companies, which would you choose and why?

Set

8.

Graph the explicit function and find the indicated values.

a.

a blank coordinate plane x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

b.

c.

d.

e.

9.

The graph of gx passes through (0, 1), (1, 3), and (2, 9). x–5–5–5555y555101010000

a.

b.

c.

d.

Write the explicit rule for .

10.

The graph of rx passes through (-1, 10), (0, 7), and (1, 4). x–5–5–5555y555101010000

a.

b.

c.

d.

Write the explicit rule for .

Two functions are graphed. Graph a new function on the same grid by adding the two given functions.

11.

The graph of fx is a continuous line passing through -5, 5, 0, 0 and 5, -5. The graph of gx is a continuous line passing through -4, 0, 0, 2 and 4, 4. x–5–5–5555y–5–5–5555000

12.

The graph of ax is a continuous line passing through -5, -2, -2, 0 and 0, 2. The graph of bx is a continuous line passing through -6, 2, -1, 0 and 4, -2. x–5–5–5555y–5–5–5555000

13.

Use the graph to answer the following questions.

The graph of fx is a continuous line passing through -2, 1, 0, 3 and2, 5. The graph of gx is a continuous line passing through -2, 3, 0, 4 and 2, 5. x–5–5–5555101010y555000

a.

Where does ?

b.

What is ?

c.

What is ?

d.

State the interval where .

Go

For each graph, identify the domain, range, and whether or not the function is increasing or decreasing.

14.

he graph of a line segment beginning at (-5, 5) with a closed dot and ending with an open dot at (2, -6). x–5–5–5y–5–5–5555000

15.

The graph of a continuous curve. The graph passes through (0, -2) and ends at an open dot at (4, -1). x–5–5–5555y–10–10–10–5–5–5000

16.

he graph of a continuous curve with no end points.The graph passes through (-5, 0), (-4, 2) and (-3, 3). x–5–5–5555y–5–5–5555000

17.

The graph of a line segment beginning at (1, -2) with a closed dot and ending with a closed dot at (6, -1). x555y–5–5–5000

18.

The graph of a line with no end points, passing through (-2, -3) and (-1, -4). x–5–5–5555y–5–5–5555000

19.

The graph of a continuous curve with exactly one end point at about (-5, 0.5) marked with a closed dot. The graph passes through (0, 1) and about (6, 3). x–5–5–5555101010y555101010000

20.

The graph of a continuous line with exactly one end point at about (5, -1) marked with a closed dot. The graph passes through (3, -5) and (4, -3). x555y–5–5–5000

21.

The graph of a continuous curve with no end points. The graph passes through (-2, 4), (-1, 2) and (0, 1). x–5–5–5555y555000