Trevor bought an antique desk. The net value of the desk is equal to the resale value of the desk minus what Trevor paid to buy it. Exponential function f, shown in the table, represents the net value of the antique desk, rounded to the nearest whole dollar, x years after Trevor purchased it. x 0 1 2 3 4 5 f(x) -37 -26 -13 0 15 32 Which statement is true?

During the first three years Trevor owned the desk, the resale value exceeded the cost. Then it was less than the cost after year 3.

Step-by-step explanation:

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.