The graph of the piecewise function f(x) is shown. What is the domain of f(x)?
Ty
7
6
5
{x|1 O {x|1 O {yl-4 sy< 1}
Oy|-4sys 1}
4
3
2
1
1
3
4
5
-6 -5 -4 -3 -2 -14
6 7
8 X
-3
25

40 minutes

step-by-step explanation:

add the time and multiply by 2

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.