Find a quadratic function that models the data. Round
numerical values to the nearest whole number.
f(x) =
2 +
A new hospital tracked the number of births during its
first 6 months of operation, as shown in the table.
Month Number of Births
I 1
137
2 T 110
3
93
4
70
5
65
Use the function to predict the number of births for
month 8. There will be about
births
|
|
|
77

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

step-by-step explanation:

yes   because as the functions are graphed they eventually will intersect unless otherwise

step-by-step explanation: