Author: Anonymous

For the given function, find the average rate of change over the specified interval.  \({f(x)=\text{2}-\text{9}x-\text{2}x^2}\) over  \({(\text{3},\;\text{–1})}\) ​

Find the slope of the line passing through the pair of points. ​ \({\left(\text{3},\;\text{7}\right)}\), \({\left(\text{–8},\;\text{–1}\right)}\) ​

Find the slope of a line passing through the given points:  (7, 3) and (13, 8)

Find the derivative of the algebraic function \({f\left(\textit{t}\right)=\left(\textit{t}^{\text{6}}+\text{3}\right)^{\text{4}}}\). ​

Find the derivative of the function. ​ \({f(x)=\frac1{x^{\text{7}}}}\) ​

Evaluate (if possible) the function \({{f(x)=}\sqrt{x\text{-7}}}\) at \({x=\text{6}}\). Simplify the result. ​

Determine the following limit. (Hint: Use the graph to calculate the limit.) ​ \({\lim_{x\rightarrow\text{2}}\left(\text{5}-x\right)}\) ​ ​

Find the slope of a line that passes through the points: (-3, 9) and (4, 9)

Find the slope of the line. Give your answer in simplest form.

At the indicated point, find the instantaneous rate of change of the function. \({R(x)=\text{7}x+\text{5}x^2,\;\;x=\text{–3}\;}\)  ​