Question

Please help.

Which type of function best models the data in the table?

Hours After 6:00 a.m., x 0 2 4 6 8 10 12 14
Users Logged In, y 2,224 1,852 1,481 1,244 1,539 1,816 2,015 2,278


Select the correct answer.

a. linear function with negative slope
b. quadratic function with a negative value of a
c. quadratic function with a positive value of a
d. square root function

Answer 1

c

Explanation:

As you can see as x increases, y decreases until x = 8, then it increases. So this means that we have a minimum point for x = 8. So this is a quadratic function with a positive value of a. If a was negative then the function would have a maximum point and it's behaviour would be the opposite of this case (y would increase until x = 8 and then it decreases)