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.
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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