Chapter 8.4, Problem 3QR

Describe the transformation needed to transformation the parents reciprocal function f(x)=1/x into g(x)=8/x-6+7

Composites of Functions

Show that the function is harmonic and analytic w=3Z² + 4iZ

Apply five decimal place rounding in all calculations. The questions that follow are based on the function f(x) = x - 2x-5. a) Show, using the Intermediate Value Theorem, that f has a zero on the interval [1,4].

Sketch a graph of the function f(x) = 5 sin 3 4 -8n -7T -6N -5T -4 -3t -2t -I 1 3n 4 6 7t 8T -2 -3 -4 -5 -6+

Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the function without doing any algebra first   ii.) by doing as much algebraic simplification as possible beforehand

I need help with these practice problems

Explain using theorems 4, 5, 7 and/or 9 from section 2.5, why the function f(x) = sin x + Inx is continuous at every number in its domain. Make sure to state the domain of the function and state the domain of each function you state is continuous.

6- Do a complete analysis to sketch the following function. F(x) = 2x-x²/x²-2x+1 Y= x² / (x²+1)(x+3)