Functions — Quiz 5

Questions in this quiz (5)

1. A psychological study found that the probability $$p$$ of a person helping in an emergency decreases linearly with respect to the number of observers $$o$$ present at the scene. Which of the given functions could represent this phenomenon mathematically?

   • $$p=-0.25o+3$$
   • $$p=1.5o-0.8$$
   • $$o=0.6p+2.1$$
   • $$o=5p-0.3$$

2. A company offers a discount on bulk orders of books. The cost per book decreases as the number of books purchased increases, as shown in the table below:Which type of graph best represents this information?

3. The data from an experiment is represented as points in the standard (x,y) coordinate plane below. The pattern of the points suggests a certain type of relationship between x and y.If a is a real number chosen for best fit, which of the following equations most closely represents the data trend?

   • $$y=a \cdot$$ $$\log x$$
   • $$y=ax^2$$
   • $$y=a^x$$
   • $$y=ax^3$$

4. What is the asymptote of the graph of $$f(x) = 2^x - 4$$?

   • $$y = 1$$
   • $$y = 0$$
   • $$y = 2$$
   • $$y = -4$$

5. Define function $$g(x)$$ as follows:$$g(x)=2x$$, $$x\leq0$$$$g(x)=4-x$$, $$x$$ > $$0$$Evaluate $$g(g(-1))$$

   • -4
   • 6
   • -2
   • 10