Answer:
Constant function, Linear function, Constant rate
Step-by-step explanation:
It is known that a 'constant function' is a function in which every value of the domain is mapped to the same value of co-domain.
As from the table we see that every value of x is mapped to y = 5.
This gives us that the given function is a 'constant function'.
A constant function is neither increasing nor decreasing.
Also, we know that a 'linear function' is a function whose graph is a straight line.
Since, constant function y = 5 has the graph represented by a straight line parallel to the x-axis.
So, this function is also a 'linear function'.
Moreover, the 'constant rate' is given as the rate of change in y-coordinates and x-coordinates.
i.e. constant rate = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
i.e. constant rate = [tex]\frac{5-5}{2-1}[/tex]
i.e. constant rate = 0
So, we see that this function has a equal constant rate for different points.
Thus, it will have same constant rate.
Hence, the phrases that correctly describe this function are 'constant function, linear function, constant rate'.
