Question

Give the domain and range. Then, use the graph to find (a) f(-2), b f(0), (c) f(1/2), and (d) any values of x such that f(x) = 3.

a. Domain: All real numbers; Range: y≤3
b. Domain: All real numbers; Range: y≥3
c. Domain: All real numbers; Range: y>3
d. Domain: x≤3; Range: All real numbers

Answer 1

The domain of the function is all real numbers, and the range is y <= 3.

The answer is option ⇒a. Domain: All real numbers; Range: y≤3

Step-by-step explanation:

The domain of the function is all real numbers, and the range is y <= 3. This is because the graph of the function is a horizontal line that is limited by the interval from x = 0 to x = 20. Since the line is horizontal, the y-values are constant and equal to any value less than or equal to 3 within the interval.

• To find f(-2), we can see from the graph that the y-value is 3 since it is less than or equal to 3 for all x-values within the interval. Therefore, f(-2) = 3.
• To find f(0), we already know from the graph that the y-value is 3. So, f(0) = 3.
• To find f(1/2), we can see that the y-value is also 3 on the graph. So, f(1/2) = 3.

There are no values of x for which f(x) = 3, since the graph is a horizontal line and the y-values are always less than or equal to 3.

The answer is option ⇒a. Domain: All real numbers; Range: y≤3