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.
Write a function to model the scenario [y=a (x-h)2 + k]
In Exercises15–36, find the points of inflection and discuss theconcavity of the graph of the function.
f(x)=\frac{6-x}{\sqrt{x}}
For each graph in Exercises 61–72, find a function whosegraph looks like the one shown. When you are finished, usea graphing utility to check that your function f has the properties and features of the given graph.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.