Solution Bank Trigonometry Target D
Answers to the Practice Problems are below in random order.
\(\begin{align}&f(x)= \frac{1}{4} \normalsize\cos(4 \pi x)\ & \ \ \ &
f(x)=2 \sin x\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[0,2], Amp: 1, Period: 8\\\\
&f(x)=-\cos x\ & \ \ \ &
f(x)=3 \cos (2x)\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[-5,-1], Amp: 2, Period: 2 \pi\\\\
&3.49\ \text{ft}\ & \ \ \ &
4.14\ \text{days}\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[-1,1], Amp: 1, Period: 2 \pi\\\\
&y=2 \sin(2 \pi x) -1\ & \ \ \ &
f(x) = - \sin (2 \pi x)\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[-2,0], Amp: 1, Period: \pi\\\\
&f(x)=\cos(\sin x)\ & \ \ \ &
f(x)= 2 \sin (3x)\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[-2,2], Amp: 2, Period: 2 \pi\\\\
&4\ & \ \ \ &
6\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[-3,5], Amp: 4, Period: 2 \pi\\\\
&f(x) = \frac{1}{2} \normalsize \cos x\ & \ \ \ &
-\frac{1}{2}\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[-1,1], Amp: 1, Period: 2 \pi\\\\
&f(x) = -3 \sin (4x) -1\ & \ \ \ &
\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[-3,3], Amp: 3, Period: 2 \pi\\\\
& \ & \ \ \ & \ & \ \ \ &Dom: (-\infty, \infty), Rng:[-2,2], Amp: 2, Period: 2 \\\\
& \ & \ \ \ & \ & \ \ \ &Dom: (-\infty, \infty), Rng:[-1,1], Amp: 1, Period: 3\end{align}\)
Answers to the Practice Problems are below in random order.
\(\begin{align}&f(x)= \frac{1}{4} \normalsize\cos(4 \pi x)\ & \ \ \ &
f(x)=2 \sin x\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[0,2], Amp: 1, Period: 8\\\\
&f(x)=-\cos x\ & \ \ \ &
f(x)=3 \cos (2x)\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[-5,-1], Amp: 2, Period: 2 \pi\\\\
&3.49\ \text{ft}\ & \ \ \ &
4.14\ \text{days}\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[-1,1], Amp: 1, Period: 2 \pi\\\\
&y=2 \sin(2 \pi x) -1\ & \ \ \ &
f(x) = - \sin (2 \pi x)\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[-2,0], Amp: 1, Period: \pi\\\\
&f(x)=\cos(\sin x)\ & \ \ \ &
f(x)= 2 \sin (3x)\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[-2,2], Amp: 2, Period: 2 \pi\\\\
&4\ & \ \ \ &
6\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[-3,5], Amp: 4, Period: 2 \pi\\\\
&f(x) = \frac{1}{2} \normalsize \cos x\ & \ \ \ &
-\frac{1}{2}\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[-1,1], Amp: 1, Period: 2 \pi\\\\
&f(x) = -3 \sin (4x) -1\ & \ \ \ &
\ & \ \ \ &
Dom: (-\infty, \infty), Rng:[-3,3], Amp: 3, Period: 2 \pi\\\\
& \ & \ \ \ & \ & \ \ \ &Dom: (-\infty, \infty), Rng:[-2,2], Amp: 2, Period: 2 \\\\
& \ & \ \ \ & \ & \ \ \ &Dom: (-\infty, \infty), Rng:[-1,1], Amp: 1, Period: 3\end{align}\)