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 how to graph the function f(x)=sqrtx-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.
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.
Find a rational inequality that has the
solution set (-2, 5]
О
a) x-5
x+2
b) x+5
x-2
ΛΙ
≥
0
< 0
VI
О
c) x-5
x+2
≤0
VI
○ d) x +2
x-5
<0
1) Listen
Solve the quadratic equation by
factoring. One solution is O. Find the
other. (Just write the numerical
answer, not x =)
2x² + 28x = 0
Your Answer:
4. Solve the system of equations and express your solution using vectors.
2x1 +5x2+x3 + 3x4 = 9
-x2+x3 + x4 = 1
-x1-6x2+3x3 + 2x4
= -1
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