According to the empirical rule what percentage of values will fall within one standard deviation from the mean?

Determine the difference quotient \( \frac{f(x+h)-f(x)}{h} \) \( f(x)=4 x-8 \)

Find the slope and \( y \)-intercept of the line. \( -6 x+y=-10 \)

Consider the following function. \[ f(x)=\left\{\begin{array}{lll}x^{2}+x & \text { if } \quad x<-3 \\ 6 & \text { if } & x=-3 \\ 2 x-1 & \text { if } & x>-3\end{array}\right. \] Evaluate the given limits. If a limit does not exist, enter DNE. (a) \( \lim _{x \rightarrow-3^{-}} f(x)=\square \) (b) \( \lim _{x \rightarrow-3^{+}} f(x)=\square \) (c) \( \lim _{x \rightarrow-3} f(x)=\square \)

Think about the appearance of the graph for the equation below. Without graphing, determine if the equation represents a function. Explain why or why not. \( x=2 \)

The function \( f(x)=-3.72 x+152.46 \) can be used to predict diamond production. For this function, \( x \) is the number of years after 2017, and \( f(x) \) is the value (in billions of dollars) of the year's diamond production. Use this function to predict diamond production in 2025 .