can anyone help me determine which statements are true and which are not? A func

Question

can anyone help me determine which statements are true and which are not?

A function y = f(x) has lim f(x)= - infinity, lim f(x) = 1, lim f(x) = 2, and lim f(x) DNE (does not exist). x rightarrow 0 + x-rightarrow + infinity x rightarrow 3- x rightarrow 3 Are the following statements about the graph of y =f(x) TRUE or FALSE? (Circle one.) The graph of f(x) must have a jump at x = 3..................... TRUE FALSE x = 0 must be a vertical asymptote of the graph of f[x)....................TRUE FALSE y = 1 must be a horizontal asymptote of the graph of f[x).............TRUE FALSE x = 3 must be a vertical asymptote of the graph of f[x). ............. TRUE FALSE x = 1 must be a vertical asymptote of the graph of f{x)............TRUE FALSE

Explanation / Answer

1.- true,the graph has a jump at 3, since the limit doesn't exist and the limit to 3- is 2 2.- true, since the limit when x tend to 0 is -inf 3.- True, since the limit tend to infinite at that point 4.-False. we don't know with the data given 5.- False. the asymptote is found at y=1

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