Question

State the domain and range for y=cos(-2x+180)+3

Answer 1

Answer:

Domain: All real numbers

Range: $2\le x\le4$

Step-by-step explanation:

The given function is

$y=\cos(-2x+180\degree)+3$

The cosine function is continuous everywhere so the domain is all real numbers.

The range of the parent function $y=\cos(x)$

is $-1\le x\le 1$.

The given function has been shifted up 3 units.

The range is

$-1+3\le x\le 1+3$.

$2\le x\le 4$.

See graph