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Calculus / Calculus: Early Transcendentals 1 / Chapter 1.1 / Problem 14E

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Domain and range Graph each function with a

Chapter 6, Problem 14E

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QUESTION:

13-18. Domain and range Graph each function with a graphing utility using the given window. Then state the domain and range of the function.

\(g(y)=\frac{y+1}{y^2-y-6};\quad\ \ [-4,\ 6]\times[-3,\ 3]\)

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QUESTION:

13-18. Domain and range Graph each function with a graphing utility using the given window. Then state the domain and range of the function.

\(g(y)=\frac{y+1}{y^2-y-6};\quad\ \ [-4,\ 6]\times[-3,\ 3]\)

ANSWER:

Step by step solution Step 1 of 2 The denominator of function g cannot be equal to zero. y y6 = / 0 ………..(1) 2 If we solve the equation y y6 = 0 we get two solutions, -2 and 3. Based on the inequality (1) we can conclude that the function g (x) is not de ed at = -2 and = 3 and its domain is {y : y /2,3}. The function g(x) takes all the values in R therefore the range is all the numbers in . A graphic utility does not represent this function acurately.

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