Question:2x²-5x+3 answer:
1 answer:
You might be interested in
Given:
The graph of a function.
To find:
The range of the given function using interval notation.
Solution:
Range: The set of y-values or output values are known as range.
From the given graph, it is clear that the function is defined for and the values of the functions lie between -2 and 2, where -2 is excluded and 2 is included.
Range
The interval notation is:
Range
Therefore, the range of the given function is (-2,2].
The distance between two real numbers is the absolute value of their difference,
. So the statement "all
that are 1/4 away from -6" is captured in the equation
or
To solve, you can use the definition of absolute value: if is not negative, then
; otherwise,
.
So there are two cases to consider:
1. Suppose . Then
, and the equation reduces to
2. Suppose . Then
and
, so the two solutions we found are correct because both
and
are indeed 1/4 away from -6.
- - -
For the question regarding inequality, you know that the absolute value must return a non-negative number. In other words, there is no such that
.