31.5k views
2 votes
Find the domain and range of f(x) = |x| + cosx

A. domain: (-infinity, infinity); range: (-infinity, infinity)

B. domain: (-infinity ,1]; range: (- infinity, infinity)

C. domain: (-infinity, infinity); range: (-infinity, 1]

D. domain: (-infinity, infinity); range: [1, infinity)

User Astoria
by
7.5k points

2 Answers

2 votes

Answer:

D. domain: (-infinity, infinity); range: [1, infinity)

Explanation:

The domain is the values that x can take

The domain is (-infinity, infinity)

The range is the values that y can take

absolute value is 0 or greater

cos x is from -1 to 1

The minimum value is when x=0

The smallest value is 1 and the largest is infinity

User Georgeos
by
7.7k points
4 votes

Answer:

D. domain: (-infinity, infinity); range: [1, infinity)

Explanation:

The domain is the values that x can take

The domain is (-infinity, infinity)

The range is the values that y can take

absolute value is 0 or greater

cos x is from -1 to 1

The minimum value is when x=0

The smallest value is 1 and the largest is infinity

User Henning Luther
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories