Question

What are the domain and range of the function on the graph?

A)The domain includes all integers, and the range is y ≥ 0.
B)The domain includes all integers, and the range is y > 0.
C)The domain includes all real numbers, and the range is y ≥ 0.
C)The domain includes all real numbers, and the range is y > 0.

Answer 1

D) The domain includes all real numbers, and the range is y > 0.

Explanation:

Given : Graph .

To find : What are the domain and range of the function on the graph.

Solution :

Domain : The domain is the set of all possible x-values .

Range : The range of a function is the complete set of all possible resulting values of the dependent variable y.

We can see from the graph , x values includes all real numbers and range ( y values greater than 0 because graph line is not intersect at 0 .

Therefore, D) The domain includes all real numbers, and the range is y > 0.

Answer 2

we know that

The domain of the function of the graph is the interval-----> (-∞,∞)

that means

All real numbers

The range of the function of the graph is the interval-----> (0,∞)

that means

`y> 0` -----> all real numbers greater than zero

therefore

the answer is the option D

The domain includes all real numbers, and the range is y > 0