MINI LESSON
Families of Functions
Different families of functions describe different patterns of change.
Linear functions change by a constant amount, quadratic functions involve squared terms and form parabolas, and exponential functions change by a constant percent or factor over equal intervals.
Question 1
On an island, a rare breed of rabbit doubled its population each month for two years. Which type of function best models the increase in population at the end of two years?
Question 2
Which scenario represents exponential decay?
Question 3
Which scenario represents an exponential relationship?
Question 4
Which representation shows the function as an equation?
Question 5
The inputs and outputs of a function are shown in the table below. This function can best be described as
Question 6
If \(g(x)=-2x^2+16\), then \(g(-3)\) equals