Lesson 3 The Bungee Jump Simulator Solidify Understanding

Ready

Evaluate each function as indicated. State undefined when applicable.

1.

$f (x) = x^{2} - 8 x$

a.

$f (0) =$

b.

$f (- 10) =$

c.

$f (8) =$

d.

$f (x + 1) =$

2.

$g (x) = \frac{3 x - 5}{x}$

a.

$g (- 1) =$

b.

$g (0) =$

c.

$g (\frac{1}{3}) =$

d.

$g (x + 1) =$

3.

$h (x) = \sin (x)$

a.

$h (π) =$

b.

$h (\frac{3 π}{2}) =$

c.

$h (\frac{11 π}{6}) =$

d.

$h (\frac{5 π}{4}) =$

4.

$w (x) = \tan (x)$

a.

$w (π) =$

b.

$w (\frac{3 π}{2}) =$

c.

$w (\frac{7 π}{6}) =$

d.

$w (\frac{3 π}{4}) =$

Set

5.

Two functions are graphed. Graph a third function by multiplying the two functions together. You may want to use the table of values to assist you. (Filling out the table is optional.)

After you have graphed $y_{3},$ graph the line $y_{4} = - x$ . What do you notice about the graph of $y_{3}$ in relation to the graphs of $y_{1}$ and $y_{4}$ ?

$x$	$y_{1} = x$	$y_{2} = \sin x$	$y_{3} = (x) \sin x$
$- 2 π$
$- \frac{3 π}{2}$
$- π$
$- \frac{π}{2}$
$0$
$\frac{π}{2}$
$π$
$\frac{3 π}{2}$
$2 π$

What do you notice about the graph of $y_{3}$ in relation to the graphs of $y_{1}$ and $y_{4}$ ?

Go

Express each exponential equation as a logarithm.

6.

$8^{3} = 512$

7.

$5^{- 3} = \frac{1}{125}$

8.

$4^{- 2} = \frac{1}{16}$

9.

$π^{- 1} = \frac{1}{π}$

10.

$10^{3} = 1,000$

11.

$10^{b} = H$

12.

$e^{a} = M$

13.

$e^{x} = 17$

14.

$x^{π} = e$