a. Graph f x = x 2 + 1 ; x ≤ 0. 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 + 1 ; x ≤ 0. 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 analyzes the graph of the function f(x)=x
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.
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13: If the perimeter of a square is shrinking at a rate of 8 inches per second, find the rate at which its area is changing when its area is 25 square inches.
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11: A rectangle has a base that is growing at a rate of 3 inches per second and a height that is shrinking at a rate of one inch per second. When the base is 12 inches and the height is 5 inches, at what rate is the area of the rectangle changing?
please answer by showing all the dfalowing necessary step
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The sides of a cube of ice are melting at a rate of 1 inch per hour. When its volume is 64 cubic inches, at what rate is its volume changing?
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