For the Function, Find the Average Rate of Change of F

question 1

Multiple Choice

For the function, find the average rate of change of f from 1 to x: $\frac { f ( x ) - f ( 1 ) } { x - 1 } , x \neq 1$
- $f ( x ) = x ^ { 3 } + x$

• A) \(x ^ { 2 } + 2\)
• B) \(\frac { x ^ { 3 } + x + 2 } { x - 1 }\)
• C) \(x ^ { 2 } + x + 2\)
• D) 1

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Definitions:

Sample Proportion

The quotient of the number of times an event occurs in a sample to the total number of observations in the sample.

Barack Obama

The 44th President of the United States, serving from 2009 to 2017, notable for being the first African American to hold the office.

Standard Deviation

A way of measuring how much variety or distribution exists among numerical values.

Expected Value

In probability theory, a weighted average of all possible values of a random variable, reflecting its anticipated outcome.