g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. \(\displaystyle{g{{\left({x}\right)}}}=\sqrt{\frac{1}{4}}{x}\)

g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. \(g(x) = 3 - ||x||\)

Investigate the change in the graph of a sinusoidal function of the form and \(= \sin x\) or and\(= \cos x\) when multiplied by a polynomial function. Describe the behavior of the graph of and\(=x^2 \sin x\) in relation to the graphs of and\(=x^2\ and\ =−x2a\).

Pure acid is to be added to a \(20\%\) acid solution to obtain 28 L of a \(40\%\) acid solution. What amounts of each should be used?

Sleep: Mean 7.35 and Range \(5.5-8.8\) Light physical activity: Mean 8.71 and Range \(3.0-16.0\) Moderate physical activity: Mean 3.36 and Range \(0.71-8.3\) Hard physical activity: Mean 0.78 and Range \(0-4.1\) Very hard physical activity: Mean 0.14 and Range \(0-1.05\) On the average. how many hours per day did the women sleep?

g is related to one of the parent functions Describe the sequence of transformations from f to g.

\(g(x) = \frac{1}{2}|x - 2| - 3\)

Use the definition of continuity and the properties of limits to show that the function is continuous on the given interval. \(\displaystyle{g{{\left({x}\right)}}}={2}\sqrt{{{3}}}-{x},{\left(-\infty,{3}\right]}\)

v is a set of ordered pairs (a, b) of real numbers. Sum and scalar multiplication are defined by: \((a, b) + (c, d) = (a + c, b + d) k (a, b) = (kb, ka)\) (attention in this part) show that V is not linear space.

Substitution and elimination, and matrix methods such as the Gauss-Jordan method and Cramer's rule. Use each method at least once when solving the systems below. include solutions with nonreal complex number components. For systems with infinitely many solutions, write the solution set using an arbitrary variable. \(2x+3y+4z=3\) \(-4x+2y-6z=2\) \(4x+3z=0\)