You move up 2 units. You end at (3, 10). Where did you start?

Step-by-step explanation:

Draw the graph with point (0,4)

As x is 0 and y is 4, the point will be on the positive y-axis.

Given : move up 6 units, means 6 is added to y value 4 => y = 4+6 => y=10 { Since, the vertical line represents the y-axis, any movement, that is up or down is calculated by adding or subtracting from

y-axis }

So, now we have point (0,10).

Also given : From here move left 3 units

-3 is added to the x value 0 => x= 0-3 => x=-3 { Since, the horizontal line represents x-axis, any movement towards left or right is calculated by x-axis } And also { As we have negative values of x-axis on the left }

So, we end at (-3,10)

Hope this helps! you can message me for any doubts, i am available anytime to clarify.

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.