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Integrated Math 2
Unit 4 – Power Models
1.1a.Extended
Expected Performance:
1.1a(1)e Describe and compare properties and classes of functions, including
exponential, polynomial, rational, logarithmic and trigonometric.
1.1a(2)e Analyze essential relations in a problem to determine possible
functions that could model the situation.
1. Match the correct equation to its corresponding graph (scales are the same
in each graph).
y  0.2 x3
a. __________
y  x3
y  25 x3
b. __________
c. __________
2. What function would appropriately model a problem involving the height of
a staircase, where x is the number of steps (of equal height) in the
staircase ?
a. A linear function
b. A quadratic function
c. A cubic function
d. An inverse function
3. What function would appropriately model a problem involving the volume
of spheres, where x is the radius of a sphere ?
a. A linear function
b. A quadratic function
c. A cubic function
d. An inverse function
4. What function would appropriately model a problem involving the intensity
of an earthquake, where x is the distance away from the epicenter of the
quake ?
a. A linear function
b. A quadratic function
c. A cubic function
d. An inverse function
5. What function would appropriately model a problem involving the height of
a baseball thrown up into the air. The object starts from the throwers
hand, goes up, reaches a maximum height and then begins to fall before
being caught.
a. A linear function
b. A quadratic function
c. A cubic function
d. An inverse function