Graph:

Solve:

Find a quadratic function with integral coefficients that has a root of

2( 3) ( 1)y x x

3 212 6 8 4 0x x x

4 2

Bellwork: (no calculator)

Lesson 5.2

Simplifying and Applying Rational Exponents

What is a rational exponent?

A rational exponent is an exponent that is a fraction

5

4x

Write using a radical sign:

3 3

2 23 x

Simplify using positive rational exponents:

3 4x 3 6x x x

Simplify using positive rational exponents:

46 1 227a b1 1 1

22 2 2

1

3

9 6

12

a b a b

ab

Solving Equations with Exponents:

We are not using

logs yet!

516 2x

19 27x

Solving Equations with Exponents:

38 64x

38 64x

Solving Equations with Exponents:

2

264

2

x

x

Application

A house bought for $235,000 in 2003 was sold for $335,000 in 2007. What was the annual rate of appreciation?

Homework

Sec 5.2p. 1782-38 e.o.e.44-48 even