1. (10 marks) Identify the intervals of increase/decrease, the symmetry, and the domain
   and range of each function.
   a) f(x) = 3x
   b) f(x) = x
   2 + 2
   c) f(x) = 2x − 1
2. (10 marks) Estimate the instantaneous rate of change for each function at each given
   point. Identify any point that is a maximum/minimum value.
   a) h(p) = 2p
   2 + 3p; p = −1, −0.75 and 1
   b) k(x) = −0.75x
   2 + 1.5x + 13; x = −2, 4, and 1
3. (10 marks) Sketch the graph of f(x) = (x − 3)(x + 2)(x + 5) using the zeros and end
   behaviours.
4. (10 marks) Solve the following inequality using graphing technology:
   x
   3 − 2x
   2 + x − 3 ≥ 2x
   3 + x
   2 − x + 1
5. (10 marks) The population of locusts in a Prairie a town over the last 50 years is
   modelled by the function
   f(x) = 75x
   x
   2 + 3x + 2
   The locusts population is given in hundreds of thousands. Describe the locust population
   in the town over time, where x is time in years.
6. (10 marks) Select a strategy to solve each of the following.
   Eton Academy 1 North York, Canada
   MHF4U: Midterm Exam Revision - January 15, 2022
   a) −x

x − 1

−3
x + 7
b) 2
x + 5
>
3x
x + 10

7. (10 marks) The following graphs (f(x) and g(x)) are a sine curve and a cosine curve,
   determine the equations of the graphs