The graph of a function is shown. On a coordinate plane, a curved line shows 1 minimum and 1 maximum value. The line crosses the x-axis at (negative 2, 0), the y-axis at (0, 0), and the x-axis at (2, 0).
Which point is a good approximation of a relative

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base

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.