Chapter 6 Final Review

Finding all real roots

100

Find the real cube root of 0.008

.2

200

Find the real cube root of 1/27

1/3

300

Find the real fifth root of 0

0

400

Find the real fourth root of 16/81

2/3

500

Find the real fourth root of -0.0002

No real root

simplifying radical expressions

100

What is the simpler form of the radical expression?

The square root of 16x⁸

4x⁴

200

What is the simpler form of the radical expression?

The cubic root of a⁶b⁹

a²b³

300

What is the simpler form of the radical expression?

The fourth root of x⁸y¹²

x²ly³l

400

What is the simpler form of the radical expression?

The fourth root of x¹²y¹⁶

lx³ly⁴

500

What is the simpler form of the radical expression?

The fifth root of 32y¹⁰

2y²

simplifying expressions with rational exponents

100

What is the simplified form of the expression?

216^1/3 

6

200

What is the simplified form of the expression?

7^1/2 * 7^1/2

7

300

What is the simplified form of the expression?

5^1/4 * 125^1/4

5

400

What is the simplified form of the expression?

(32)^-4/5

1/16

500

What is the simplified form of the expression?

(-3)^1/3 * (-3)^1/3 * (-3)^1/3

-3

Adding, subtracting, dividing, multiplying, and composition functions

100

Let f(x)=2x²+8 and g(x)=x-3. Find (f+g)(x) and its domain.

2x²+x+5

All real numbers

200

Let f(x)=2x²+8 and g(x)=x-3. Find f-g and its domain.

2x²-x+11

All real numbers

300

Let f(x)=x²-9 and g(x)=x+3. Find (f * g)(x) and its domain.

x³+3x²-9x-27

All real numbers

400

Let f(x)=x²-9 and g(x)=x+3. Find f/g and its domain.

x-3

Domain: x cant equal -3

500

Let f(x)=x-5 an g(x)=x². Find (g of f)(-3).

64

Rewriting a radical function

100

Rewrite y=√9x+18

y=3√x+2

200

Rewrite y=√9x-9

y=3√x-1

300

Rewrite y=-2√4x+16

y=-4√x+4

400

Rewrite y=√4x-4 and describe the graph it makes.

y=2√x-1 

translated 1 unit to the right

500

rewrite y=√25x+25   -3 and describe the graph it makes.

y=5√x+5    -3

translated 5 units left

down 3 units