G ( x ) = 2 - ( x - 7 )²
g ( x ) = 2 - ( x² - 14 x + 49 )
g ( x ) = 2 - x² + 14 x - 49
g ( x ) = - x² + 14 x - 47
The maximum of the function is at:
x= - b / 2 a
x = - 14 / ( - 2 ) = 7
Therefore the function is increasing form x ∈ ( - ∞, 7 ) and decreasing for x ∈ ( 7, +∞ ).
Answer:
C. increasing, x < 7; decreasing x > 7.
According to the graph given, and using it's concept, it is found that the initial value of the domain is of 0.
The <em>domain</em> of a function is the <u>set that contains all possible input values</u>.
- In a graph, it is <u>represented by the values of x</u>, which is the horizontal axis.
In the graph given in this problem, the function is <u>defined for x between 0 and 2</u>, that is, the <em>domain </em>is [0,2], hence, the initial value of the domain is of 0.
To learn more about domain, you can take a look at brainly.com/question/25897115
