Increasing and Decreasing Intervals of a Function
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Problems 11
- Using the cost of gasoline function, find an interval on which the function appears to be decreasing. Estimate any local extrema using the table.
- Determine the intervals on which the function f(x)=x3−6x2−15x+20f(x)=x^3-6x^2-15x+20f(x)=x3−6x2−15x+20 is increasing and decreasing.
- What intervals is the function graphed increasing and decreasing?
- What intervals is the function graphed increasing and decreasing?
- What intervals is the function graphed increasing and decreasing?
- What intervals is the function graphed increasing and decreasing?
- Find the intervals on which the function f(x)=x2x+2f(x)=x^2\sqrt{x+2}f(x)=x2x+2 is increasing and decreasing.
- Find the intervals on which the function f(x)=12x4−2x3−52x2+15xf(x)=\frac{1}{2}x^4-2x^3-\frac{5}{2}x^2+15xf(x)=21x4−2x3−25x2+15x is increasing and decreasing.
- Find the intervals on which the function f(x)=x2lnx2f(x)=x^2\ln x^2f(x)=x2lnx2 is increasing and decreasing.
- Find the intervals on which the function f(x)=xex(x2ex)f(x)=xe^x(x^2e^x)f(x)=xex(x2ex) is increasing and decreasing.
- What values of aaa would make the following function strictly decreasing? f(x)=ax3+x2−32f(x)= ax^3+x^2-32f(x)=ax3+x2−32