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| Translation
of The Principal Square Root Function |
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Translation
of the principal square root function
in the direction of
the x-axis |
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| Translation of the principal square root function
in the direction of
the x-axis |
| Horizontal
line test |
| A
function f
has an inverse if no horizontal line intersects the graph of
f
more than once. |
| If
any horizontal line intersects the graph of f
more than once, then f
does not have an inverse. |
| A
mapping associating a unique member of the codomain with every
member of the domain of a function is called one to one
correspondence. |
| A
function f
is one-to-one if and only if f
has an inverse. |
| Given
f
(x)
= x2 + y0
and,
since f
[f
-1(x)]
= x |
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therefore, f
[f
-1(x)]
= [f
-1(x)]2
+ x0
= x, or
[f
-1(x)]2
= x -
x0
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| then |
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| To find the
y-intercept,
set x
= 0 and solve for y, that is, |
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| The
graph of
translated principal square root function
in the direction of
the x-axis |
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| Beginning
Algebra Contents B |
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| Copyright
© 2004 - 2020, Nabla Ltd. All rights reserved. |
