which of the statements a through i about the function ( y = f(x) ) graphed here are true, and which are…

which of the statements a through i about the function ( y = f(x) ) graphed here are true, and which are false?\na. the statement ( lim_{x \to 2} f(x) ) does not exist is false.\nb. the statement ( lim_{x \to 2} f(x) = 2 ) is false.\nc. the statement ( lim_{x \to 1} f(x) ) does not exist is true.\nd. the statement ( lim_{x \to c} f(x) ) exists at every point ( c ) in ( (-1,1) ) is true.\ne. the statement ( lim_{x \to c} f(x) ) exists at every point ( c ) in ( (1,3) ) is true.\nf. the statement ( f(1) = -3 ) is

which of the statements a through i about the function ( y = f(x) ) graphed here are true, and which are false?\na. the statement ( lim_{x \to 2} f(x) ) does not exist is false.\nb. the statement ( lim_{x \to 2} f(x) = 2 ) is false.\nc. the statement ( lim_{x \to 1} f(x) ) does not exist is true.\nd. the statement ( lim_{x \to c} f(x) ) exists at every point ( c ) in ( (-1,1) ) is true.\ne. the statement ( lim_{x \to c} f(x) ) exists at every point ( c ) in ( (1,3) ) is true.\nf. the statement ( f(1) = -3 ) is

Answer

Brief Explanations:

To determine the truth of the statements, we analyze the graph of the function (y = f(x)).

  • For statement (f), we look at the value of the function at (x = 1). From the graph, when (x=1), the function value (f(1)) is not (-3).

Answer:

False