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Consider the function f of x, this graph is given below.
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We want to determine the limit of f of x as x approaches infinity, x approach is negative infinity, as x approaches 1, and as x approaches 3.
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We also want to find the equations of the asymptotes, the vertical, and the horizontal asymptotes.
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Now, for the limit of f of x as x approaches infinity, we want to determine the value where the function approaches as we trace the graph further to the right or as x gets larger and larger.
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Now looking at the graph we see that as we trace the graph towards the right or as x gets larger and larger, the value of y is approaching this line which is at y equal to nizabeth.
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Negative 2.
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So this limit equals negative 2.
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For part b, i want to find the limit of f of x, this approach as negative infinity.
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So this time we're going to trace our graph further to the left.
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And as you trace the graph further to the left, it's approaching this y value, which is at positive 2.
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And then for part c, you want to find the limit of f of x as x approaches one we need to trace our graph from the left side of one and from the right side of one.
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Now if you look at the graph it's going up infinitely from the left and up infinitely from the right...