Pls help w/ algebra
1 answer:
<h3>Answer:</h3>
See attached graphs.
<h3>Step-by-step explanation:</h3>You are being asked to observe the graphs of the various equations and identify something they have in common. To answer the question, it usually works well to do exactly what the question asks you to do.
a: All three lines have a slope of at least 1 and pass through the origin.
b: These lines all have the same slope. They are parallel.
c: All three lines have a slope less than 1 and pass through the origin.
d: These are all the same line.
e: All of these lines intersect at the point (2, -2).
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<em>Comment on the graphs</em>
The number of attachments allowed here is limited, so some graphs have been combined. Where there are 3 lines, the first is red, the second is blue, the third is green.
Graphs for (a) and (c) appear on the same page. The graphs for (c) are shown as dashed lines.
Graphs for (b) and (d) appear on the same page. The graph for (d) is shown in orange (as a dashed line). All threee lines look exactly like this.
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<em>Comment on the graphing program</em>
These are graphed using the Desmos on-line graphing calculator. It has a tutorial available and is not difficult to learn for most simple graphing applications. (It prefers the variables x and y.) Graphs can be saved for later. (Here, screen shots are used because Brainly doesn't like external links.)
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Rolle's Theorem does not apply to the function because there are points on the interval (a,b) where f is not differentiable.
Given the function is and the Rolle's Theorem does not apply to the function.
Rolle's theorem is used to determine if a function is continuous and also differentiable.
The condition for Rolle's theorem to be true as:
- f(a)=f(b)
- f(x) must be continuous in [a,b].
- f(x) must be differentiable in (a,b).
To apply the Rolle’s Theorem we need to have function that is differentiable on the given open interval.
If we look closely at the given function we can see that the first derivative of the given function is:
From this point of view we can see that the given function is not defined for x=0.
Hence, all the assumptions are not satisfied we can reach a conclusion that we cannot apply the Rolle's Theorem.
Learn more about Rolle's Theorem from here brainly.com/question/12279222
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