What transformation is represented by the rule (x, y) ( -x, -y)

The answer is rotation of 180 degrees around the origin.

Step-by-step explanation:

Since we started at Quadrant I (x, y) and then went to Quadrant IV (-x, -y), we rotated 180 degrees around the origin.

I hope this helped! :-)

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.