Suppose one of your friends was absent from school on the day your math class learned about graphing rational numbers on the number line. Using complete sentences, explain to your friend how to graph the opposite of 6.2 on the number line.

i think it would be R/{6.2}

So i would ask this friend to draw a number line and label 6.2 on the number line. Then i would ask her if she knew what the opposite number of 6.2 is.

Yes- The number line will always continue, its indefinite. This means it can go forward or backwards. Make sure that your friend wrote 0. You always need a starting point. Then tell her to draw the tally marks forward the same way she did backwards. Locate the 6.2 and make all of the numbers negative.

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.