Question

Which of the following are true about the graph of f(x)=−4x2?
Select the TWO that apply.

Answer 1

the answer is A and D

when you differentiate the question you find that the maximum point is (0,0)i.e

$\frac{dy}{dx} = - 8x$

when dy/dx is 0 values of x are 0,0

and the function shows that valies of x are real numbers.

Answer 2

The domain of the graph is (−∞,∞), {x|x∈R} and the maximum point (0,0) which is the correct answer would be options (A) and (D)

What are the domain and range of the function?

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

Given function as

f(x) = -4x²

The range is the set of values that correspond with the domain.

Range: (−∞,0], {y|y≤0}

Domain: (−∞,∞), {x|x∈R}

and the function shows that values of x are real numbers.

The maximum point is when differentiating the function, which is (0,0) i.e

dy/dx = -8x

Values of x are 0 when dy/dx is 0.

Hence, the domain of the graph is (−∞,∞), {x|x∈R} and the maximum point (0,0) which is the correct answer would be options (A) and (D)

Learn more about the domain and the range here:

brainly.com/question/21027387

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