Answer:
Domain -∞ < x < +∞
Range f(x) ≤ - 4
Step-by-step explanation:
The given quadratic function is f(x) = - 4 (x + 1)² - 4
Now, we have to find the domain and range of the quadratic function.
Now, it is clear from the given function that f(x) will have real value for all real value of x.
Therefore, the domain of the function is -∞ < x < +∞ (Answer)
Now, (x + 1)² is always ≥ 0
i.e. (x + 1)² ≥ 0
⇒ - 4 (x + 1)² ≤ 0 {Since the inequality sign changes for multiplying both sides of the equation by a negative term}
⇒ - 4 (x + 1)² - 4 ≤ - 4
⇒ f(x) ≤ - 4
Therefore, this is the required range of the function f(x). (Answer)
Answer:
-2 + × = y
Step-by-step explanation:
I think this is the answer because it's asking for an expression which this would be one.
(5x² + 2x - 3)(x - 1)
= 5x³ - 5x² + 2x² - 2x - 3x + 3
= 5x³ - 3x² - 5x + 3
In short, Your Answer would be Option D
Hope this helps!
