Engineering Board Exam Reviewer · Curve Analysis: Critical Points, Concavity, and Inflection · easy

On which interval is f(x)=x2-4x increasing?

1. x<2
2. x>-2
3. x>2
4. x>4

Answer

C. x>2

Solution

f'(x)=2x-4>0 x>2.

More Curve Analysis: Critical Points, Concavity, and Inflection questions

1. Find the critical number of f(x)=x2-6x+5.
2. Find the absolute minimum value of f(x)=x4-4x3+10.
3. How many inflection points does f(x)=x5-5x4 have?
4. Find the maximum value of f(x)=xe-x for x≥0.
5. For what value of k does f(x)=x3+kx2 have an inflection point at x=2?
6. Find the absolute maximum value of f(x)=x3-3x on the interval [0,2].
7. Determine the intervals of concavity of f(x)=x4-6x2.
8. Find the x-coordinate of the inflection point of f(x)=x3-6x2+9x+1.
9. Find the local maximum value of f(x)=x3-3x2+4.

All Curve Analysis: Critical Points, Concavity, and Inflection questions