The Following Graph Represents the Rate of Change of a Function

question 69

Multiple Choice

The following graph represents the rate of change of a function f with respect to x; i.e., it is the graph of , with . Which of the following are true at x = 1.8? (Check all that apply.)

• A)f is concave up
• B)f is concave down
• C)f is increasing
• D)f is decreasing

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Definitions:

Range

The difference between the highest and lowest values in a data set, giving an indication of the data's dispersion or variability.

Median

The middle value in a set of numbers, which separates the higher half from the lower half.

Standard Deviation

A statistical metric that quantifies the spread or variability of a dataset, highlighting how far individual measurements deviate from the dataset's mean on average.

Mean

The average of a set of numerical values, calculated by adding them together and dividing by the number of values.