Answer:
Question 1
Find H(0) → find the value(s) of H when x = 0
From inspection of the graph, H is the y-axis and x is the x-axis.
Therefore, when x = 0, y = 6 so H(0) = 6
Question 2
Solve H(x) = 0 → find the values of x for which y = 0
From inspection of the graph, y = 0 at:
x = 0.54, x = 1.48 and x = 2.25
Question 3
The domain of a function is the input values, i.e. the x-values.
Therefore, as x is equal to zero or positive,
the domain of this function is x ≥ 0
Question 4
The range of a function is the output values, i.e. the y-values.
From inspection, we can see that the y-values range from zero to 6.
Therefore, the range of this function is 0 ≤ y ≤ 6 or using the function notation: 0 ≤ H(x) ≤ 6
