Question Set 3

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- 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 = x
^{2}?

- Write the equation of the functions which are the mirror images of the following functions in the x-axis:

y = 5x

^{2}

y = 3x^{5}

y = -4x^{3}

- If the equation is changed to y = ax
^{n}+k, describe the effect k has on:

the table of values of the function

the graph of the function

Margaret Sinclair