Q. 25 - 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.

$y=-3 \cos \left(2x\right)$.

Step-by-Step Solution

Answer

The graph of the function $y=-3 \cos \left(2x\right)$ is,

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

The range of this function is, $\left[-3,3\right]$.

Step 1 Given function is,

$y=-3 \cos \left(2x\right)$.

The graph of the 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, $\left\{y|-3\le y\le 3\right\}$ or $\left[-3,3\right]$.