Does this set of ordered pairs represent a function? why or why not?
{6-2, 2), (--1), (3, 1), (4,11)}
a. no, because two of the y-values are the same.
b. no, because one x-value corresponds to two different y-values.
c. yes, because there are two x-values that are the same
d. yes because every x-value corresponds to exactly one y-value.

B

Step-by-step explanation:

Your line goes from 6 to -1 by x left and then from -1 to 3. Its impossible as function cannot have more than 1 y value per x value. So lools like its b. Hope this helps) Have a nice day)

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.