Determine Whether the Given Function Is Continuous $y = \frac { 8 x - 7 } { x ^ { 2 } + 36 }$

question 67

Multiple Choice

Determine whether the given function is continuous. If it is not, identify where it is discontinuous and which condition fails to hold. You can verify your conclusions by graphing the function with a graphing utility, if one is available. $y = \frac { 8 x - 7 } { x ^ { 2 } + 36 }$

• A)discontinuous at \(x = - 36\)
• B)discontinuous at \(x = 6\)
• C)discontinuous at \(x = - 6\)
• D)discontinuous at \(x = 36\)
• E)continuous everywhere

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