a. Graph f x = x 2 − 9 , x ≤ 0. b. 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. Find an equation for f − 1 . 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 − 9 , x ≤ 0. b. 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. Find an equation for f − 1 . 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.
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.
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
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RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY