Lesson 3 It All Adds Up Develop Understanding

Ready

Multiply.

1.

$2 x (5 x + 7)$

2.

$9 x (- x - 3)$

3.

$5 x^{2} (x + 6)$

4.

$- x (x^{2} - x + 1)$

5.

$- 3 x (- 2 x^{2} + x - 1)$

6.

$- 1 (x^{2} - 4 x + 8)$

Set

Use the polynomials to find the specified sums and differences.

$f (x) = (3 x^{4} + 5 x^{2} - 1)$

$g (x) = (2 x^{3} + x)$

$h (x) = (- 6 x^{5} - 2 x + 13)$

$k (x) = (4 x^{5} + 3 x^{2} + x - 9)$

$m (x) = (x^{4} - 9)$

$p (x) = (x^{4} + 9)$

7.

$f (x) + g (x)$

8.

$f (x) - g (x)$

9.

$h (x) + k (x)$

10.

$h (x) - k (x)$

11.

$m (x) + p (x)$

12.

$m (x) - p (x)$

13.

$k (x) + p (x)$

14.

$f (x) - h (x)$

15.

$f (x) = x - 2$ :

$g (x) = x^{2} + 1$ :

Graph $f (x) + g (x)$ .

Go

Write in logarithmic form.

16.

$3^{5} = 243$

17.

$a^{x} = y$

Write in exponential form.

18.

$\log_{7} 1 = 0$

19.

$\log_{9} 3 = \frac{1}{2}$

Evaluate each log.

20.

$\log_{2} 128 =$

21.

$\log_{8} 1 =$

22.

$\log_{10} 100,000 =$

23.

$\log_{a} a^{6} =$

Graph each function. Label a least 3 points. Be precise.

24.

$f (x) = - 3 + \log_{2} x$

25.

$f (x) = \log_{2} (x - 3)$