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How do you find the x and y intercepts for #Q(x) = 2x^2 / (x^2 - 5x - 6)#?

Answer 1

#y=0#, #x=0#

To find the y-intercept, we set #x=0#. Because the numerator of the expression is an isolated #x^2# term, and because #0^2=0#, the entire answer is #0#. To find the x-intercept, we set #y=0#. Then, by multiplying both sides by #x^2-5x-6#, #0=2x^2#. #x# is therefore also #0#.

Alternatively, one can graph this function.

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Answer 2

Kennedy Adams

To find the x-intercepts, set Q(x) equal to zero and solve for x. To find the y-intercept, evaluate Q(x) at x = 0.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.