Radical Functions and Rational Exponents

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Presentation transcript:

Radical Functions and Rational Exponents Chapter 7 Radical Functions and Rational Exponents

7-1 Roots and Radical Expressions

7-1 Roots and Radical Expressions

7-1 Roots and Radical Expressions

7-1 Roots and Radical Expressions

Warm Up

7-2 multiplying and dividing radical expressions

simplifying radical expressions

7-2 multiplying and dividing radical expressions

7-2 multiplying and dividing radical expressions

7-2 multiplying and dividing radical expressions Homework: page 383 (1-33) odd

warm up

7-3 Binomial Radical Expressions

7-2 multiplying and dividing rational expressions

7-2 multiplying and dividing rational expressions

Homework: p 388/389 (1-35) odd

warm up – checkpoint quiz

warm up – checkpoint quiz

7-4 Rational Exponents Another way to write a radical expression is with a rational exponent:

7-4 Rational Exponents

7-4 Rational Exponents

7-4 Rational Exponents

7-4 Rational Exponents

7-4 Rational Exponents

7-4 Rational Exponents

7-4 Rational Exponents

homework: p 394-395 (1-47) odd, except 27 and 29

7-5 Solving Square Root Equations Warm Up

7-5 Solving Radical Equations A radical equation is an equation that has a variable in a radicand (or variable with a fractional exponent.) If the radical has index 2, the equation is a square root equation. To solve a radical equation, isolate the radical expression, then raise both sides of the equation to the same power.

7-5 Solving Radical Equations

7-5 Solving Radical Equations

warm up simplify all expressions

7-5 Solving Radical Equations

7-5 Solving Radical Equations

7-5 Solving Radical Equations

7-5 Solving Radical Equations

7-5 Solving Radical Equations

page 400 (1-29) odd

warm up

7-6 Function Operations

7-6 Composition of Functions

7-6 Composition of Functions find f(g(x)) and g(f(x))

7-6 Composition of Functions

7-6 Composition of Functions

7-6 Composition of Functions Homework: page 406-407 (1-35) odd

7-7 Inverse Functions

7-7 Inverse Functions Since an inverse exchanges x values with the y values, to find an inverse of an equation you can interchange x and y, and then solve the equation for y.

7-7 Inverse Functions Find the inverse for each function.

7-7 Inverse Functions

7-7 Inverse Functions homework page 416 (5-21) odds – only find the inverse functions, you do not need to graph these