Answer:
- domain (-∞, ∞)
- range (-∞, 4]
- increasing (-∞, 0)
- decreasing (0, ∞)
- constant (only at x=0, not on any interval)
Step-by-step explanation:
The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).
The vertical extent of the graph includes y=4 and all numbers less than that:
range: (-∞, 4]
The graph is increasing to the left of its vertex at x=0, decreasing to the right.
increasing (-∞, 0); decreasing (0, ∞)
There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.
5x2 + 15x + 4x + 12
5x(x + 3) +4(x + 3)
(x+3)(5x+4)
Hi again!
I used an online calculator to help me graph each of the functions.
The correct answer is option D
Let me know if you have any questions about the answer!
Segment GZ and Segment XY
I hope that this helped you!
