Rational Expressions and Finding the Domain of a Rational Function
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| 1) What is a rational expression?
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| 2) Describe what is meant by “a rational expression is undefined for a certain value of x.”
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| 3) Explain how to find the domain of a rational function.
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For the following problems, identify the domain of each function.
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| 4) What is the domain of the function?
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| 5) What is the domain of the function?
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| 6) What is the domain of the function?
Hint: Factor the denominator.
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| 7) What is the domain of the function?
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Evaluating a Rational Expression or Function
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| 8) Explain how to evaluate a rational function.
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For the following problems, evaluate each rational function or expression for x = –1 and x = 2. Write undefined, if appropriate.
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| 9) Evaluate.
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| 10) Evaluate.
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| 11) Evaluate.
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| 12) Evaluate.
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Simplifying Rational Expressions
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| 13) Describe how to simplify a rational expression.
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For the following problems, simplify each rational expression. State any restrictions on the variable.
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| 14) Simplify.
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| 15) Simplify.
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| 16) Simplify.
Hint: Factor out common factors in the numerator and denominator and cancel.
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| 17) Simplify.
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Attachments |
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| 18) Simplify.
Hint: You can cancel common binomials in the numerator and denominator. However, determine the restrictions before you cancel.
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Review
Click here to review the unit content explanation for Rational Numbers and Exponents.
Click here to review the unit content explanation for Polynomials.
Click here to review the unit content explanation for Linear Equations and Graphs.
Click here to review the unit content explanation for More Systems of Equations.
Click here to review the unit content explanation for Polynomials.
Click here to review the unit content explanation for Factoring.
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| 23) Simplify.
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| 25) Find the sum.
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| 26) Find the difference.
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| 27) Find the product.
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| 29) Solve the equation by factoring and using the zero-product property. What are the two solutions of the equation?
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| 30) Solve the equation by factoring and using the zero-product property. What are the THREE solutions of the equation?
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| 31) Explain how you would solve the system below using substitution.
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| 32) Describe how to use “completing the square” to solve for “x.”
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| 33) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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