Introduction to Power Functions
Question Set 3

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The general equation for this section is y = axn.
- Write the equation of the function that describes the graph:
when a = 1, and n = 2
when a = -3, and n = 2
when a = 2 and n = 4
- Let n = 2. Describe the change in the graph when the value of a changes:
from 1 to 3
from 1 to 1/2
from 1 to -1
- Let a = 1. Describe the change in the graph when the value of n changes:
from 2 to 5
from 2 to 1
from 2 to 1/2
- If the x-axis is the mirror, what function is the reflection of the function whose equation is y = x2?
- Write the equation of the functions which are the mirror images of the following functions in the x-axis:
- If the equation is changed to y = axn+k, describe the effect k has on:
the table of values of the function
the graph of the function
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Margaret Sinclair