At a summer camp, 6-year-olds are in group a, 7-year-olds are in group b, and 8-year-olds are in group c. is the group assignment a function of age? if so, is the function one-to-one or many-to-one?

Yes, it is a one-to-one function

Step-by-step explanation:

Since, a relation in which each input value has only one output value is called function,

Here, we have given a relation,

In which input value is age of student and output value is student's group,

∵ input = 6, output = group A,

input = 7, output = group B,

input = 8, output = group C,

Thus, each input value has only one output value,

So, the group assignment is a function of age.

Now, in a function if each input has distinct output then the function is called one-one otherwise many-one.

∵ for each age of student there is a different grade.

Hence, it would be one-to-one function.

the answer will be

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0