Math Problem Statement
Answer the questions about the following function. f left parenthesis x right parenthesis equals StartFraction x plus 11 Over x minus 3 EndFraction (a) Is the point left parenthesis 6 comma nine halves right parenthesis on the graph of f? (b) If x = 1 comma what is f(x)? What point is on the graph of f? (c) If f(x) = 2, what is x? What point(s) is/are on the graph of f? (d) What is the domain of f? (e) List the x-intercepts, if any, of the graph of f. (f) List the y-intercept, if there is one, of the graph of f. . . . Question content area right Part 1 (a) Choose the correct answer. A. No, because f left parenthesis nine halves right parenthesis not equals6. B. No, because f(6)not equalsnine halves . C. Yes, because f(6)equalsnine halves . D. Yes, because f left parenthesis nine halves right parenthesis equals6. Part 2 (b) If xequals1 comma f(x)equals
enter your response here. (Simplify your answer.) Part 3 Using the information in the previous step, list the point(s) on the graph of f where xequals1.
enter your response here (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) Part 4 (c) If f left parenthesis x right parenthesis equals 2 comma xequals
enter your response here. (Simplify your answer. Use a comma to separate answers as needed.) Part 5 Using the information in the previous step, list the point(s) on the graph of f where f(x)equals2.
enter your response here (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) Part 6 (d) What is the domain of f? The domain is
enter your response here. (Type your answer in interval notation.) Part 7 (e) List the x-intercept(s), if any, of the graph of f. Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. The x-intercept(s) is/are
enter your response here. (Use a comma to separate answers as needed.) B. There are no x-intercepts. Part 8 (f) List the y-intercept, if any, of the graph of f. Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. The y-intercept(s) is/are
enter your response here. (Use a comma to separate answers as needed) B. There is no y-intercept. (a) Choose the correct answer.(b) If x1 comma f(x)(Simplify your answer.)Using the information in the previous step, list the point(s) on the graph of f where x1.(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)(c) If f left parenthesis x right parenthesis equals 2 comma x(Simplify your answer. Use a comma to separate answers as needed.)Using the information in the previous step, list the point(s) on the graph of f where f(x)2.(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)The domain is(Type your answer in interval notation.))Select the correct choice and, if necessary, fill in the answer box to complete your choice.input field 7Select the correct choice and, if necessary, fill in the answer box to complete your choice.
Solution
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Math Problem Analysis
Mathematical Concepts
Rational functions
Domain and range
Intercepts
Formulas
Rational function formula: f(x) = (x + 11) / (x - 3)
Theorems
-
Suitable Grade Level
High school
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