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Find the instantaneous rate of change of $k(x) = x$ at $x = -3$ . $\newline$ Write your answer as an integer or a fractions" target="_blank" class="backlink">fraction. Simplify any fractions. $\newline$ ____ $\newline$

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Find instantaneous rates of change

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Q. Find the instantaneous rate of change of

k(x) = x

at

x = -3

.

\newline

Write your answer as an integer or a fraction. Simplify any fractions.

\newline

____

\newline

Identify Function & Point: Identify the function and the point where the rate of change is needed. $\newline$ Function: $k(x) = x$ $\newline$ Point: $x = -3$
Recognize Instantaneous Rate: Recognize that the instantaneous rate of change of a linear function like $k(x) = x$ is the same at every point. $\newline$ Since $k(x) = x$ is a linear function with a slope of $1$ (coefficient of $x$ ), the rate of change at any point is $1$ .
Conclude Instantaneous Rate: Conclude that the instantaneous rate of change of $k(x)$ at $x = -3$ is the same as the slope of the function. $\newline$ Instantaneous rate of change at $x = -3$ = $1$

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