Question

question 1 of 10
what restrictions are there on the range of the function ( h(n) ) below?
image of a graph with a red rectangle and a curve
( \bigcirc ) a. ( h(n) < 0 )
( \bigcirc ) b. ( h(n) leq 1 )
( \bigcirc ) c. ( h(n) > 0 )
( \bigcirc ) d. ( h(n) = 1 )

Explanation:

Step1: Analyze the graph's y-values

The curve starts at a positive y-value (marked as a positive coordinate) and decreases, but all visible points of $H(w)$ lie above the horizontal axis (w-axis), meaning $H(w)$ is always greater than 0.

Step2: Match to options

Eliminate options that contradict: A is negative, B has an upper limit of 1 not shown, D is a fixed value. Only option C matches the observation.

Answer:

C. $H(w) > 0$