For which interval of x is the function decreasing and nonlinear?

Mathematics

1 answer:

liubo4ka [24]3 years ago

7 0

Answer: Between x = -2 and 0.
Explanation: Let's first look for an interval where the gradient is decreasing. That is, if we were given the function for each curvature or line, the derivative would be negative.

We see that only two places have a decreasing gradient (between 0 and -2 and 2 and 4).

Now, the question asks for a non linear line. So, we want to look for a curve instead of a line and thus, the only viable interval is between -2 and 0.

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So it does not make sense to use a constant rate.

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Answer:

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Step-by-step explanation:

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4 years ago

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Someone help please?! Need right answers only don’t come for the points will mark brainliest

Kaylis [27]

Hi there!

These can probably be done on your own. You just gotta know what to do! :)

Let's take #1 for example. You (or maybe a classmate/teacher showed you?) plotted the points. Mark each point with the given letter, so you don't get lost. Then, you reflected it over the y-axis.

Think of it as a mirror. Say you held a picture of a rhombus up to it. You would see the rhombus, yourself, and whatever was in the background reflected back at you. You step closer, the image steps closer. You turn the rhombus, and the image also turns. This principle can be used here!

So, keep doing what you're doing. Here's a step-by-step:

1.) Plot each point, and mark its name. For example, 'B' is (-6,7), and you write 'B' next to the point.

2.) Double check the point are exactly where they need to be

3.) Connect each point with a straight line. You can use a ruler, student ID, whatever as a straightedge, but it looks neater

4.) Draw a line for the axis. For example, if y=0, draw a straight line again there. (hint: that's the y-axis!)

5.) Double check that everything is right so far again. This is easy to mess up!

6.) Reflect each point over the axis. Another example, (-3, 2) becomes (3, 2). Mark this with an apostrophe (') to signal the point as prime, or the reflected point. For example, B becomes B' (B prime)

7.) Check one final time

If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer. I want to be able to assist more users one-on-one! :)

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