Consider the rational function f(x) = 2x − 1 / x − 4 .
a. state the domain of f.
b. determine the end behavior of f.
c. state the horizontal asymptote of the graph of y = f(x).
d. graph the function on the graphing calculator, and make a sketch on your paper.

Aboard game uses a fair six-sided die and a spinner with five equal-sized sections colored dark blue, green, light blue, red, and yellow. players roll the die and then spin the spinner. match each probability statement to its correct value.

1. are the triangles similar and if so why? what is the value of x? show your work.

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)