By using the graph above, all the statements that are true include;
A. f(5.1) = 5
B. f(0.6) = 0
E. This is the graph of the greatest integer function.
In Mathematics and Geometry, a greatest integer function is a type of function which returns the greatest integer that is less than or equal (≤) to the number.
Mathematically, the greatest integer that is less than or equal (≤) to a number (x) is represented as follows:
y = [x].
By critically observing the given graph, we can logically deduce the following true output values;
f(5.1) = 5
f(0.6) = 0
Additionally, this graph maps each x-value to the largest integer that is less than or equal to (≤) the value. Based on the graph, -4 is the greatest integer of -3.2, so answer option D is incorrect. Also, the graph isn't one-to-one because it failed the horizontal line test.