FUNCTIONS

Solve for x, x ϵ R a) (x + 1)(x – 2)(x – 4)2 > 0

Determine an expression for f(x) in which: f(x) is cubic, f(x) ¡Ý 0 when x ¡Ü 2, f(x) < 0 when x > 2, and f(0) = 4

The following set of points belong to a specific function: {(-3,0)(-2,4), (-1,0), (0,-6),(1,-8), (2,0),(3,24)} Based on the set of points answer the following questions: a) What type of function does it produce? Justify your answer. b) Write an equation

f(x)=x^2/(x-2)^3 is this function odd even or neither?

4. The population of a small town is modelled by the function p(t)= 20(4t+3)/2t+5 , where P(t) is the population, in thousands, and t is time, in years, since the start of 1990. a) Is the population currently increasing or decreasing? Justify your answer....

Polluted water from a factory flows into a pond. The concentration of pollutant, c, in the pond at time t minutes is modelled by the equation c(t)=8-8000(1/1000+2t) where c is measured in kg/m3. When will the concentration of pollutant in the pond reach 6...