Lesson 4 Scott’s Workout Solidify Understanding

Ready

Evaluate the equation for the indicated function values.

1.

$f (n) = 5 n + 8$

$f (- 4) =$

2.

$f (n) = - 2 n + 1$

$f (12) =$

3.

$f (n) = 6 n - 3$

$f (\frac{2}{3}) =$

4.

$f (n) = - n$

$f (- 6) =$

5.

$f (n) = 5^{n}$

$f (4) =$

6.

$f (n) = 3^{n}$

$f (- 1) =$

7.

$f (n) = 10^{n}$

$f (- 2) =$

8.

$f (n) = 2^{n}$

$f (0) =$

Set

Find the next three terms in each sequence. Identify the common difference. Write a recursive function and an explicit function for each sequence.

(The first number is $n = 1$ , not $n = 0$ .)

9.

a.

$3, 7, 11, 15, 19,$ $\underset{―}{}, \underset{―}{}, \underset{―}{},$ $\dots$

b.

Common Difference:

c.

Recursive Function:

d.

Explicit Function:

10.

a.

$11, 8, 5, 2, - 1,$ $\underset{―}{}, \underset{―}{}, \underset{―}{},$ $\dots$

b.

Common Difference:

c.

Recursive Function:

d.

Explicit Function:

11.

a.

$4, 2.5, 1, - 0.5, - 2,$ $\underset{―}{}, \underset{―}{}, \underset{―}{},$ $\dots$

b.

Common Difference:

c.

Recursive Function:

d.

Explicit Function:

12.

a.

$72, 60, 48, 36, 24,$ $\underset{―}{}, \underset{―}{}, \underset{―}{},$ $\dots$

b.

Common Difference:

c.

Recursive Function:

d.

Explicit Function:

Go

Olaf is a mountain climber. The graph shows Olaf’s elevation on the mountain beginning at noon. Use the information in the graph to answer the following questions.

13.

What was Olaf’s elevation at noon?

14.

What was his elevation at 3 p.m.?

15.

How many feet had Olaf descended from noon until 3 p.m.?

16.

Olaf reached the base camp at 4 p.m. What is the elevation of the base camp?

17.

During which hour was Olaf descending the mountain the fastest? Explain how you know.

18.

Does the value of $f (n)$ represent the time or the elevation?

Find the slope for each line based on the given representation.

19.

20.

$x$	$y$
$- 1$	$19$
$0$	$13$
$1$	$7$
$2$	$1$

21.

$y = - \frac{3}{5} x + 7$

22.

$(2, 3)$ and $(8, 15)$