Converting to vertex form is one way of doing this
2x^2 + 12x + 19
= 2(x^2 + 6x) + 19
= 2 [ x + 3)^2 - 9] + 19
= 2(x + 3)^2 - 18 + 19
= 2(x + 3)^2 + 1
the minimum value is 1
The domain of a function is the set of x values for which it is defined. The range of the given graph will be -2≤x<7.
<h3>What is the domain and range of a function?</h3>
The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.
As it can be seen that the value on the y-axis is defined for every value of x between -2 to 7, also the value of x is also defined for x=-2.
Hence, the range of the given graph will be -2≤x<7.
Learn more about Domain and Range:
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Answer: 905 cu. in.
Step-by-step explanation:
volume = (4/3) * π * r³
= (4/3) * π * 216
