1.. The graph of f (x) is continuous and decreasing with an x-intercept at x = 2. Which of the following statements must be true?

a. The graph of f is always concave down.

b.The graph of f is always increasing.

c. The graph of f has an inflection point at x = 2.

d. The graph of f has a relative minimum at x = 2.

2.. Which of the following functions grows the fastest as x grows without bound?

a. f(x) = x^10

b.g(x) = ln(x^10)

c.h(x) = 10^x

d. They all grow at the same rate.

3.. Compare the growth rate of the functions f(x) = log4(x) and g(x) = 4x.

a. f(x) grows faster than g(x).

b. g(x) grows faster than f(x).

c.f(x) and g(x) grow at the same rate.

d.It cannot be determined.