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Which statement about the graph of (f) is true?

a. It crosses the x-axis at (e).
b. It crosses the y-axis at (e).
c. It passes through the point ((1, e)).
d. It crosses the x-axis at (e).

1 Answer

4 votes

Answer:

Without the specific function (f), it is not possible to conclusively decide which statement about its graph is true. However, general principles of graphing can provide insight into what each statement implies about a function's behavior at specific points or axes.

Step-by-step explanation:

The question seems to be from a section on graphing functions in mathematics. Without the specific details of the function (f), it is challenging to determine which statement about the graph of (f) is true.

However, using general knowledge about functions and their graphs, we can infer the following:

  • If a function crosses the x-axis at a point (e), it means that the function has a root at x = e, which implies that f(e) = 0.
  • If a function crosses the y-axis at (e), it suggests that when x = 0, the function has the value e, hence f(0) = e.
  • If a function passes through the point ((1, e)), it simply means that when x = 1, the value of the function is e, so f(1) = e.
  • The statements about the graph of the electric field E and the possible graphs of y = a + bx provide context on different types of linear functions and what their graphs can look like based on the slope parameter 'b'.

Without the specific function (f), deciding between statements a, b, c, or d from the initial question cannot be conclusively done.

Graphs of functions like y = ex, y = -ex can be sketched to show how they interact with the axes and whether they pass through specific points.

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