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CalculusQ&A LibraryThe right-sided and left-sided derivatives of a function at a point a are given byAy10-f(a + h) - f(a)f(a + h)- f(a)f, '(a) = limh 0+limits exist. The derivative f'(a) exists if and only if f. '(a) =f_ '(a). Complete parts (a) through(c) using f(x) = |2x+2| and a = - 1.and f- (a) = limrespectively, provided these8-h 0-6-%3D4-a. Sketch the function. Use the graphing tool to graph the function.2-Click to108.2.-24-4-10-8-6enlargegraph-2--4-6inQuestion

Asked Feb 13, 2020

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these are notes from class, i was absent

Step 1

Given function is f(x)= |2x+2|

a) We have to graph the function.

2x+2=0

or, 2x=-2

or, x=-1

So at x=-1 there is vertex.

Step 2

Using this piecewise function we make two tables.

x | -5 | -4 | -3 | -2 | -1 |

y | 8 | 6 | 4 | 2 | 0 |

x | 0 | 1 | 2 | 3 | 4 |

y | 2 | 4 | 6 | 8 | 10 |

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