Restricted Values f(x) g(x) x x h(x) j(x) x x 1 of 2

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Restricted Values f(x) g(x) x x h(x) j(x) x x 1 of 2 Chapter 10 Discovery 1 Restricted Values 1. Complete the following tables of values for the given radical functions: f(x) g(x) x x -3 -2 -1 1 -3 -2 -1 1 h(x) j(x) x x -3 -2 -1 1 -3 -2 -1 1 1 of 2

Restricted Values 2 of 2 Chapter 10 Discovery 1 2. Determine the restricted values of each function if possible. 3. The function in exercise 1a and 1b are defined by even roots. The functions In exercises 1c and 1d are defined by odd roots. Which functions have restricted values? 4. Graph the given radical functions with restricted values on a decimal calculator screen. Trace each function’s graph. What happens when you reach the restricted x-values you found in exercise 2? 5. Write a rule for determining the restricted values of a radical function by viewing its table of values. 6. Write a rule for determining the restricted values of a radical function by viewing its graph. 7. Write a rule for determining the restricted values of a radical function algebraically. 2 of 2

Radical and Rational Exponents Chapter 10 Discovery 2 Radical and Rational Exponents Evaluate each expression, and compare the results obtained in the left column with the corresponding results in the right column. Write a rule for writing a radical expression as an exponential expression.

More Radical and Rational Exponents Chapter 10 Discovery 3 More Radical and Rational Exponents Evaluate each expression, compare the results obtained in each row. Write a rule for converting an expression with a rational exponent to a radical expression.

Powers of i 1. Evaluate the following expressions: i1 = i2 = i Chapter 10 Discovery 4 Powers of i 1. Evaluate the following expressions: i1 = i2 = a. i3 = ___ b. i4 = ___ c. i5 = ___ d. i6 = ___ 2. Look for a pattern and predict the following: i7 = ___ Check your prediction on your calculator. Look for a pattern and then write a rule for evaluating i to any power. i -1