Question

use the graph to determine a. the function’s domain; b. the function’s range; c. the x-intercepts, if any; d. the y-intercept, if an; and e. the missing function value, indicated by the question mark below, ( f(16) =? )

a. the domain of the function is (\boxed{0,16}). (type your answer in interval notation)

Explanation:

Step1: Identify domain from graph

The graph spans x from 0 to 16, inclusive.

Step2: Identify range from graph

The graph spans y from 0 to 6, inclusive.

Step3: Find x-intercept

The graph crosses x-axis at $x=16$.

Step4: Find y-intercept

The graph crosses y-axis at $y=6$.

Step5: Find $f(16)$

At $x=16$, the y-value is 0.

Answer:

a. Domain: $[0, 16]$
b. Range: $[0, 6]$
c. x-intercept: $(16, 0)$
d. y-intercept: $(0, 6)$
e. $f(16)=0$