MHF4U
Unit 4 Composite Functions Assignment
Communication: /8 Thinking: /16
Communication [C8]
Overall throughout the assignment for clear, well explained solutions and diagrams.
You may insert pictures of handwritten solutions within each question.
Insert the photos for each question. Do NOT upload individual photos to the D2L assignment. Paste
them inside this document.
1. How will two even functions or two odd functions, or a mixture of the two combine? Will the result be
even, odd, or neither? Complete the following table. [C6]
Combination Sum Difference Product Quotient
Even and Even
Odd and Odd
Even and Odd
Hint: Choose a couple of even functions and a couple of odd functions and use graphing software (ie
desmos.com).
2. A marine biologist measures the presence of a pollutant in an ocean and concludes that the
concentration, C, in parts per million (ppm), as a function of the population, P, of the people who visit
the beach is given by $C(P) = 1.38P + 97.4$. The population of people visiting the beach, in
thousands, can be modeled by $P(t) = 12(1.078)^t$ where $t$ is the time in years since the first
measurement.
Natural log (ln) is not allowed to be used in this assignment.
a. Determine an equation, in simplified form, for the concentration of pollutant as a function of the
number of years since the first measurement. No rounding of decimals. Keep all decimal
places.[T2]
b. How long (to the nearest year) will it take for the concentration to reach 180 ppm? Round to 1
decimal place. [T3]
