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'.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.