The graph of the function f(x) 3e x 1, x, has an asymptote y k, and crosses the x and y axes at A and B respectively, as shown in the diagram a Write down the value of k and the y coordinate of A b Find the exact value of the x coordinate of B, giving your answer as simply as possible y A O B X y k

Question: The graph of the function f(x) = 3e x 1, x, has an asymptote y = k, and crosses the x and y axes

The graph of the function f(x) = 3e^−x − 1, x ∈ ℝ, has an asymptote y = k, and crosses the x and y axes at A and B respectively, as shown in the diagram.

y A O B X y = k

a. Write down the value of k and the y-coordinate of A.

b. Find the exact value of the x-coordinate of B, giving your answer as simply as possible.

y A O B X y = k

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