In Exercises 31-32, the domain of each piecewise function is ( − ∞ , ∞ ) a . graph each function. b . Use the graph to determine the functions range. f ( x ) = { 2 x if x < 0 − x if x ≥ 0
In Exercises 31-32, the domain of each piecewise function is ( − ∞ , ∞ ) a . graph each function. b . Use the graph to determine the functions range. f ( x ) = { 2 x if x < 0 − x if x ≥ 0
Solution Summary: The author explains how to draw the graph using a partial table of coordinates.
In Exercises 31-32, the domain of each piecewise function is
(
−
∞
,
∞
)
a. graph each function.
b. Use the graph to determine the functions range.
f
(
x
)
=
{
2
x
if
x
<
0
−
x
if
x
≥
0
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
An airplane flies due west at an airspeed of 428 mph. The wind blows in the direction of 41° south of west
at 50 mph. What is the ground speed of the airplane? What is the bearing of the airplane?
A vector with magnitude 5 points in a direction 190 degrees counterclockwise from the positive x axis.
Write the vector in component form, and show your answers accurate to 3 decimal places.
||A||=23
45°
Find the EXACT components of the vector above using the angle shown.
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