munozgiselle
06.05.2020 •
Mathematics
Which one correct pls help and thanks
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Ответ:
Ответ:
A function can be represented as a graph which shows its characteristics
The true statements about the function f(x) = -4·x² are;
The domain is {x | x is a real number}The point (0, 0) is a maximumThe reason the above option are correct as follows:
The given function is presented as follows;
f(x) = -4·x²
Given that the operation in the function is the raising of the power of x to two, followed by multiplication by '-4', which are operations defined for all real numbers, the function can take all real numbers as input
Therefore;
The domain is {x | x is a real number}The 'x²' in the function f(x) always gives a positive value, therefore, -4·x² is always negative, except for the point x = 0, where, -4 × 0² = 0 = f(0)
Therefore, f(x) = -4·x² is 0, when x = 0, which is the only nonnegative value and therefore, the maximum point, and the only x and y intercept
Therefore;
The point (0, 0) is a maximumThe function is increasing in the domain (-∞, 0]
The range of the function is (-∞, 0]
Therefore, two true statements are;
A) The domain is {x | x is a real number}
D) The point (0, 0) is a maximum
Learn more about properties of the graph of a function here:
link