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

Question

asked Mar 1, 2020 88.6k views

1 Answer

Vifargent · Answer 1 · 2020-03-06T10:58:24+0000

Answer:

Domain: All real numbers

Range:
$2\le x\le4$

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