Question

Given the graph of $y=5\cos (2x+1);\forall x\in R.$ Select the correct options.

• A. Period: $\pi$
• B. Range: $[-1,1]$
• C. Range:$[-5,5]$
• D. Period: $4\pi$

Answer 1

Answer: (A), (C)

Range:$[-5,5]$

Given the graph of $y=5\cos (2x+1);\forall x\in R.$


Here, $y$ ranges from $-5\text{to}5$
$\text{or}-5\le y\le 5\Rightarrow 5\cos (2x+1)\in [-5,5]$

We can easily see from the given graph that $5\cos (2x+1)$ will have a fundamental period of $\pi .$