Question

1. analyze and persevere estefania has tracked the number of students in her grade since third grade. she records her data in the table below is the relation a function? explain. grade 3 4 5 6 7 8 students 726 759 748 792 804 835

Explanation:

Step1: Recall function definition

A relation is a function if each input (independent variable) has exactly one output (dependent variable). Here, the input is "Grade" and the output is "Number of Students".

Step2: Check each input

For each grade (3, 4, 5, 6, 7, 8), there is only one corresponding number of students (726, 759, 748, 792, 804, 835). No grade is repeated with different student counts.

Answer:

Yes, the relation is a function. By the definition of a function, a relation is a function if every input (grade, in this case) has exactly one output (number of students). Here, each grade (3, 4, 5, 6, 7, 8) is associated with only one number of students, so each input has exactly one output.