Determine the domain of the following graph:

Hi there! :)

The domain of a graph consists of its x-values.

In this graph, we can see endpoints at the value x = -6 and x = 6.

Thus, the domain is from x = -6 to 6.

Since we have endpoints, however, we can use closed brackets "[]" to denote the domain in interval notation. Therefore, the domain of this function is:

[-6, 6].

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

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.