Given the graph of G answer the following lim_x rightarrow - 2 G(x) = G(- 2) = i

Question

Given the graph of G answer the following lim_x rightarrow - 2 G(x) = G(- 2) = is G continuous at - 27 lim x rightarrow 2G(x) = G(2) is G continuous at 2? lim _x rightarrow 4^- G(x) = lim _x rightarrow 4^+ G(x) = lim _x rightarrow 4 G(x) = G(1) Is G continuous at 1? Given the graph of H answer the following lim _x rightarrow 2^- H(x) = lim _x rightarrow 4^+ H(x) = lim _x rightarrow 4 H(x) = H(-2) = Is H continuous at x = -2? lim _x rightarrow -1^- H(x) = lim _x rightarrow -4^+ H(x) = lim _x rightarrow -1 H(x) = H(1) = Is H continuous at x = 1? lim _x rightarrow 3^- H(x) = lim _x rightarrow 3^+ H(x) = H(3) Is H continuous at x = 3?

Explanation / Answer

a) Lim x---> -2 G(x) = 1

b) G(-2) = 1

c) Yes it is continous at x= -2

d) Lim x---> 2 G(x) = -2

e)   G(2) = -2

f) Yes it is continous

g) Lim x--> 4- G(x) = 4

h) Lim x--> 4+ G(x) = 4

j) G(4) = 4

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