Final answer:
The value of the function when x = 0 is 10 and when x = 4 is 173.
Step-by-step explanation:
The given function is:
h(x) = 2x² + 3x + 10, 0 < x < 4
h(x) = 42x + 5, x ≥ 4
To find the values of the function when x = 0 and x = 4, we substitute the values of x into the given function:
When x = 0:
h(0) = 2(0)² + 3(0) + 10 = 10
When x = 4:
h(4) = 42(4) + 5 = 173
Therefore, the value of the function when x = 0 is 10 and when x = 4 is 173.