Let F(x)=

question 133

Essay

Let f(x)=
+ 5
.Determine the intervals of which f is (a)concave up and (b)concave down.(c)Find the x-values of all inflection points.

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Definitions:

Technological Change

The overall process of invention, innovation, and diffusion of technology or processes.

Returns to Scale

The rate at which output increases in response to proportional increases in all inputs or resources, reflecting the production efficiency of a firm.

Long-Run Average Total Cost

The per unit cost of production in the long run, where all inputs, including capital, are variable.

Slope

The measure of the steepness, incline, or grade of a line, often calculated as the ratio of the vertical change to the horizontal change.