Given the polynomial f(x)=3x3−4x2−3x−1, what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a?

The step function g(x) is defined as shown. what is the range of g(x)? ***answer choices in picture.

About 9% of th population is hopelessly romantic. if 2 people are randomly selected from the population, what is the probability that at least 1 person is hopelessly romantic?

Aprofessional hockey team has noticed that, over the past several seasons, as the number of wins increases, the total number of hot dogs sold at the concession stands increases. the hockey team concludes that winning makes people crave hot dogs. what is wrong with the hockey team's conclusion? a) it does not take into account the attendance during each season. b) it does not take into account the number of hamburgers sold during each season. c) it does not take into account the number of concession stands in the hockey arena. d) it does not take into account the number of seasons the hockey team has been in existence.