Q. 24 - Precalculus Enhanced with Graphing Utilities

Question

In Problems $24-32$, graph each function. Each graph should contain at least two periods. Use the graph to determine the domain and the range of each function.

$y=2 \sin \left(4x\right)$.

Step-by-Step Solution

Answer

The graph of the function $y=2 \sin \left(4x\right)$ is,

The domain of this function is ,$\left(-\infty ,\infty \right)$.

The range of this function is, $\left[-2,2\right]$.

Step 1 Given function is,

$y=2 \sin \left(4x\right)$.

The graph of this function is,

Step 2 Find the domain and the range.

The domain of this function is the set of all the real numbers or $\left(-\infty ,\infty \right)$.

The range of this function is, $\left\{y|-2\le y\le 2\right\}$ or $[-2,2]$.