10. The graph of the cubic polynomial - y = (x² − 1)(x − 2) is drawn at the right. - https://www.desmos.com/calculator/rhhiuudvcg (a) On the same set of axes, make a careful sketch of the inverse graph. We gave you two copies to work from so you can use one for rough work. (b) It should be clear that the inverse graph is not a function graph; however the original cubic function can be partitioned into three components each of which has an inverse graph that is a function graph. Specify the domain (i.e. the x-interval) of each of these components. -2 -4- 3- 2 10 -1- -2 -3- 1 N 4. 3. -2 0 3 -1- -2 3

College Algebra
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Author:Ron Larson
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Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
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10. The graph of the cubic polynomial
-
y = (x² − 1)(x − 2)
is drawn at the right.
-
https://www.desmos.com/calculator/rhhiuudvcg
(a) On the same set of axes, make a careful sketch of the
inverse graph. We gave you two copies to work from so
you can use one for rough work.
(b) It should be clear that the inverse graph is not a
function graph; however the original cubic function can
be partitioned into three components each of which
has an inverse graph that is a function graph. Specify
the domain (i.e. the x-interval) of each of these
components.
-2
-4-
3-
2
10
-1-
-2
-3-
1
N
4.
3.
-2
0
3
-1-
-2
3
Transcribed Image Text:10. The graph of the cubic polynomial - y = (x² − 1)(x − 2) is drawn at the right. - https://www.desmos.com/calculator/rhhiuudvcg (a) On the same set of axes, make a careful sketch of the inverse graph. We gave you two copies to work from so you can use one for rough work. (b) It should be clear that the inverse graph is not a function graph; however the original cubic function can be partitioned into three components each of which has an inverse graph that is a function graph. Specify the domain (i.e. the x-interval) of each of these components. -2 -4- 3- 2 10 -1- -2 -3- 1 N 4. 3. -2 0 3 -1- -2 3
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