Consider the graph of the function f(x) = 2(x + 3)2 + 2. Over which interval is the graph decreasing? (–∞, –3) (–∞, 2) (–3, ∞) (
2, ∞)
2 answers:
Answer:
(–∞, –3)
Step-by-step explanation:
The function is a quadratic function of order 2 and positive coefficient.
This is in the form of the function , but it is displaced 3 units to the left of the x axis and two units up in the y axis. type of functions are decreasing from -∞ to its vertex and then they are increasing from the vertex to infinity.
Observe in the attached graph that this function has its vertex in the point (-3, 2) and is decreasing from -∞ to x = -3. Then it is increasing until ∞. Therefore the correct option is:
(-∞, -3)
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Answer:
Solving with an equality is just simply the same as solving any algebra equations. If you were given a fraction, then just multiply both sides.
Example:
4 + > 14
Subtract 4 on both sides:
4 - 4 + > 14 - 4
> 10
Now <em>multiply both sides by 2</em>:
× 2 > 10 × 2
x > 20