The table give the values of a function. identify the phrases that correctly describe this function.

Constant function, Linear function, Constant rate

Step-by-step explanation:

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 =

i.e. constant rate =

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'.

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step-by-step explanation:

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