HW Score: 1 5.4.31 Use the graph shown to find the following (a) The domain and

Question

HW Score: 1 5.4.31 Use the graph shown to find the following (a) The domain and range of the function (b) The intercepts, if any (c) Horizontal asymptotes, if any (d) Vertical asymptotes, if any (e) Oblique asymptotes, if any (a) What is the domain? Select the correct choice below and fill in any answer boxes within your choice o A. The domain of the function is (x 1 O B. The domain of the function in the graph is the set of all real numbers. (Type an inequality. Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed) ntery 6 1 parts

Explanation / Answer

Domain

x values are from -infinity, -2 and -2 to 2 and 2 to infinity

Therefore domain (-infinity,-2)U(-2,2)U(2,infinity)

Range

y values are from -infinity,-2 and -2 to infinity

SO range =(-infinity,-2)U(-1,infinity)

x intercepts

graph touches the x axis at -1.25 and 1.25

Therefore x intercepts are (-1.25,0),(1.25,0)

horizontal asymptote

y=-2

vertical asymptote

x=-2, x=2

No oblique asymptote

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