Use the definition of continuity and the properties of limits to show that (picture provided below)

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Step-by-step explanation:

The given function is

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We can factor an rewrite for easy evaluation;

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Let us plug in 5.

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Let us find the Left Hand Limit;

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Now the Right Hand Limit;

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Since the One-Sided Limits exist and are equal;

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We have shown that;

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This is the definition of continuity.

Hence f(x) is continuous at x=5

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)

answer: (1,3) (3,-1) (5,-5) ?

step-by-step explanation: