Question

The graph of a function \( f \) is given. (Assume that each point lies on a gridline.) (a) Find the domain and range of \( f \). (Enter your answer using interval notation.) domain range (b) Sketch th

Answer 1

The domain of the function f(x) = 10, for 0 ≤ x ≤ 20, is [0, 20] and the range is [10, 10]. To sketch the graph, draw a horizontal line at y = 10 that spans from the point (0, 10) to the point (20, 10) on a coordinate plane.

Step-by-step explanation:

To find the domain and range of the function f(x), we need to examine the values of x and y that the function can take. For a horizontal line f(x) = 10 between x = 0 and x = 20, the domain is the set of all possible x-values that the function can take, which are all values from 0 to 20. Therefore, the domain in interval notation is [0, 20].

The range is the set of all possible y-values that the function can take. Since the function describes a horizontal line at y = 10, the range consists of a single value, 10. So, the range in interval notation is [10, 10].

Sketching the graph involves plotting the horizontal line y = 10 between x = 0 and x = 20 on a coordinate plane. This means at any point along this line between x = 0 and x = 20, the function f(x) will always be 10.