Use analytic methods for the following function. f(x) = 6000x 4950 - 2x (a) Find any points of discontinuity. (Enter your answers as a comma-separated list. If the function is continuous, enter CONTINUOUS.) x = 2475 (b) Find the limits as x→∞ and x → -∞. lim f(x) = X x → 00 lim f(x) = 88 X→-00 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 large values, an attempt to find the appropriate window is difficult. The asymptote may never be located. For large values, the calculator may return an incorrect graph. The asymptote may not be correct. O For small values, the calculator may return an incorrect graph. The asymptote may not be correct. For small values, an attempt to find the appropriate window is difficult. The asymptote may never be located. X

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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Use analytic methods for the following function.
6000x
4950 - 2x
(a) Find any points of discontinuity. (Enter your answers as a comma-separated list. If the function is continuous, enter CONTINUOUS.)
x = 2475
f(x)
=
(b) Find the limits as x → ∞ and x → →∞.
lim f(x)
X→∞0
lim f(x)
X→-00
= ∞
=
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.
O For large values, an attempt to find the appropriate window is difficult. The asymptote may never be located.
For large values, the calculator may return an incorrect graph. The asymptote may not be correct.
For small values, the calculator may return an incorrect graph. The asymptote may not be correct.
For small values, an attempt to find the appropriate window is difficult. The asymptote may never be located.
Transcribed Image Text:Use analytic methods for the following function. 6000x 4950 - 2x (a) Find any points of discontinuity. (Enter your answers as a comma-separated list. If the function is continuous, enter CONTINUOUS.) x = 2475 f(x) = (b) Find the limits as x → ∞ and x → →∞. lim f(x) X→∞0 lim f(x) X→-00 = ∞ = 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. O For large values, an attempt to find the appropriate window is difficult. The asymptote may never be located. For large values, the calculator may return an incorrect graph. The asymptote may not be correct. For small values, the calculator may return an incorrect graph. The asymptote may not be correct. For small values, an attempt to find the appropriate window is difficult. The asymptote may never be located.
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