Question

Use analytic methods for the following function.

f(x) =

5000x

4850 − 2x

(a) Find any points of discontinuity. (Enter your answers as a comma-separated list. If the function is continuous, enter CONTINUOUS.)
x =

(b) Find the limits as

x → ∞

and

x → −∞.

lim x→∞ f(x)	=
lim x→−∞ f(x)	=

(c) Explain why, for this function, a graphing calculator is better as a support tool for the analytic methods than as the primary tool for investigation.

For small values, an attempt to find the appropriate window is difficult. The asymptote may never be located.For large values, an attempt to find the appropriate window is difficult. The asymptote may never be located.    For small values, the calculator may return an incorrect graph. The asymptote may not be correct.For large values, the calculator may return an incorrect graph. The asymptote may not be correct.

Answer 1

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