In Exercises 53–62, sketch the graph of each piecewise function . From the graphs find the range of each function. f ( x ) = { x 2 i f x ≥ 2 3 x − 2 i f x < 2
In Exercises 53–62, sketch the graph of each piecewise function . From the graphs find the range of each function. f ( x ) = { x 2 i f x ≥ 2 3 x − 2 i f x < 2
Solution Summary: The author explains that the function's range is set of all real number R. The value of f(x)=x2 is shown in the red line.
In Exercises 53–62, sketch the graph of each piecewise function. From the graphs find the range of each function.
f
(
x
)
=
{
x
2
i
f
x
≥
2
3
x
−
2
i
f
x
<
2
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.
In Exercises 43 and 44, graph the functions. Notice in each case
that the numerator and denominator contain at least one com-
mon factor. Thus you can simplify each quotient; but don't lose
track of the domain of the function as it was initially defined.
x + 2
x²
-
4
43. (a) y
(b) y =
(c) y =
X + 2
X-2
X-1
(x - 1)(x-2)
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