Question

use the graph to determine a. the functions domain; b. the functions range; c. the x-intercepts, if any, d. the y-intercept, if any, and e. the missing function value, indicated by the question mark below.
f(16) = ?
a. the domain of the function is 0,20 (type your answer in interval notation.)

Explanation:

Step1: Identify range from graph

The lowest y-value is 2 (closed dot at x=0), highest is 6 (closed dot at x=20). So range is $[2,6]$.

Step2: Find x-intercepts

x-intercepts are where $y=0$. The graph never touches $y=0$, so no x-intercepts.

Step3: Find y-intercept

y-intercept is where $x=0$. The graph has a point at $(0,2)$, so y-intercept is 2.

Step4: Locate f(16) on graph

Find $x=16$ on the x-axis, move up to the graph, the corresponding y-value is 6.

Answer:

a. $[0,20]$
b. $[2,6]$
c. None
d. $2$
e. $6$