iLearnMath.net: web quiz: precalculus: chapter 2

If the degree of a polynomial is k (where k is some number greater than or equal to 2), then the degrees of its first and second derivatives are k-1 and k-2, respectively. (1 point)

True
False

6

If f(x) and g(x) are two polynomials of degree m and n, respectively, then the first derivative of f(x)+g(x) has degree m+n. (1 point)

True
False

7

The second derivative of a function at x=a may exist even when the first derivative at x=a does not exist. (1 point)

True
False

8

If f(x) and g(x) are both concave up at x=a, then the direct sum f(x)+g(x) is also concave up. (1 point)

True
False

9

If f(x) and g(x) are both concave down at x=a, then the direct difference f(x)-g(x) is also concave down. (1 point)

True
False

10

If f(x) is concave up at x=a, then the constant multiple cf(x) is also concave up at x=a. (1 point)

True
False