CLEP Calculus - Meaning of Functions

Evaluate the limit:

$\lim_{x \to 2} \frac{x^3-8}{x^2-4}$

Find the critical point(s) of $f(x)=9x^{2}-12x+7$ .

Evaluate:

$\lim_{x\rightarrow 10} \frac{x^3-30x^2+300x-1000}{x-10}$

If describes the concavity of a function, which of the following statements must be true?

Find

$\lim_{x\rightarrow 1} \frac{6x^2-7x+1}{x^3-1}$ .

A huge container is used to hold all the confiscated candy at a local high school. Since everyone there loves sweets, the school is constantly confiscating candy, and dropping it into the container. At the end of the day, the container is emptied and starts empty the next day. The amount of candy in the container throughout the day is given by the following expression: $f(t) =\frac{-(t-5)^{3}}{15} +5t - 8.33$ , where t is in hours.

Assuming that there is a 10 hour school day, when is most of the candy confiscated?

A farmer has 500 feet of fencing. She wants to enclose the maximum area possible, so she plans to use the side of another building, which is 300 feet long, as one side of her enclosure. What equation will you use to find the maximum area the farmer can enclose?

Find the critical point(s) of $f(x)=9x^{2}-12x+7$ .

Evaluate:

$\lim_{x\rightarrow 1} \frac{x^3-6x^2+11x-6}{x-1}$

If describes the concavity of a function, which of the following statements must be true?

Meaning of Functions

Practice Questions