The average rate of change is:
16/3
Explanation:Given the function:
[tex]f(x)=x^4+x[/tex]and the interval:
The average rate of change is:
[tex]\begin{gathered} \frac{f(b)-f(a)_{}}{b-a} \\ \\ =\frac{\lbrack(1)^4+(1)\rbrack-\lbrack(-2)^4+(-2)\rbrack}{1-(-2)} \\ \\ =\frac{(1+1)-(16-2)_{}}{1+2} \\ \\ =\frac{2-(-14)}{3} \\ \\ =\frac{16}{3} \end{gathered}[/tex]