a. Graph f ( x ) = x 2 − 3 ; x ≤ 0 . (See Example 7) 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. Graph y = f ( x ) and y = f − 1 ( x ) on the same coordinate system . g. Write the domain of f − 1 in interval notation. h. Write the range of f − 1 in interval notation.
a. Graph f ( x ) = x 2 − 3 ; x ≤ 0 . (See Example 7) 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. Graph y = f ( x ) and y = f − 1 ( x ) on the same coordinate system . g. Write the domain of f − 1 in interval notation. h. Write the range of f − 1 in interval notation.
Solution Summary: The author explains that the graph of function f(x)=x
a. Graph
f
(
x
)
=
x
2
−
3
;
x
≤
0
. (See Example 7)
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. Graph
y
=
f
(
x
)
and
y
=
f
−
1
(
x
)
on the same coordinate system.
g. Write the domain of
f
−
1
in interval notation.
h. 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.
Solve questions by Course Name (Ordinary Differential Equations II 2)
please Solve questions by Course Name( Ordinary Differential Equations II 2)
InThe Northern Lights are bright flashes of colored light between 50 and 200 miles above Earth.
Suppose a flash occurs 150 miles above Earth. What is the measure of arc BD, the portion of Earth
from which the flash is visible? (Earth’s radius is approximately 4000 miles.)
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