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MATH 1300 Study Guide - Midterm Guide: Completing The Square, Periodic Function, Negative Number

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turquoisegnu128

1 Oct 2018

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$MATH 1300 Full Course Notes$

MATH 1300 Full Course Notes

Document Summary

Mathematics 1300, calculus 1: consider the trigonometric function f (t) whose graph is shown below. Write down a possible formula for f (t). Answer: this function appears to be an odd, periodic function that has been shifted upwards, so we will use sin(t) as our parent function and apply the appropriate trans- formations. The graph appears to be a function whose amplitude is 2, period is 4 , (cid:18) t (cid:19) So f (t) = 2 sin: find the domain of the function f (x) = Answer: because the square root of a negative number doesn"t produce real numbers, we will only allow our domain to be values of x such that 4 5x is not negative. In other words, 4 5x 0. Answer: this function is a polynomial, so its domain is all real numbers. The shape of the graph is a parabola that opens upwards, so to nd the range we rst nd the vertex.

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Related Questions

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Algebra

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