a. Graph f x = x − 2 . b. From the graph of f , is f a one-to-one function? c. Write the domain of f in interval notation. d. Write the range of f in interval notation. e. Write an equation for f − 1 x . f. Explain why the restriction x ≥ 0 is placed on f − 1 . g. Graph y = f x and y = f − 1 x on the same coordinate system . h. Write the domain of f − 1 in interval notation. i. Write the range of f − 1 in interval notation.
a. Graph f x = x − 2 . b. From the graph of f , is f a one-to-one function? c. Write the domain of f in interval notation. d. Write the range of f in interval notation. e. Write an equation for f − 1 x . f. Explain why the restriction x ≥ 0 is placed on f − 1 . g. Graph y = f x and y = f − 1 x on the same coordinate system . h. Write the domain of f − 1 in interval notation. i. Write the range of f − 1 in interval notation.
Solution Summary: The author explains that the function f(x)=sqrtx-2 is a one-to-one function.
b. From the graph of
f
, is
f
a one-to-one function?
c. Write the domain of
f
in interval notation.
d. Write the range of
f
in interval notation.
e. Write an equation for
f
−
1
x
.
f. Explain why the restriction
x
≥
0
is placed on
f
−
1
.
g. Graph
y
=
f
x
and
y
=
f
−
1
x
on the same coordinate system.
h. Write the domain of
f
−
1
in interval notation.
i. Write the range of
f
−
1
in interval notation.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
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=
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a.
Evaluate f(-3). If you have multiple steps, be sure to connect your expressions with
EQUALS SIGNS. (3 points)
4c
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Enter the general antiderivative of f(x)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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