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tekilochka [14]
3 years ago
6

Determine what kind of functions the following graphs are. WILL MARK BRAINLIEST!!

Mathematics
1 answer:
meriva3 years ago
3 0

Answer:

The answer to your question is below

Step-by-step explanation:

Definitions

-An Odd function is a function whose graph is symmetric with respect to the origen.

-An Even function is a function whose graph is symmetric with respect to the y-axis.

For these graphs the answers are

a) Odd function

b) Even function

c) Even function

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Explanation:

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b. We observe that adjacent pairs of points have the same x-coordinate, so are on vertical lines, which have undefined slope. KN is a segment of the line x=1; LM is a segment of the line x=3. If the trapezoid is isosceles, the midpoints of these segments will be on a horizontal line. The midpoint of KN is at y=(3-2)/2 = 1/2. The midpoint of LM is at y=(1+0)/2 = 1/2. These points are on the same horizontal line, so the trapezoid <em>is isosceles</em>.

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c. We observed in part (b) that the parallel sides are KN and LM. The coordinate difference between K and L is (1, 3) -(3, 1) = (-2, 2). That is, segment KL is the hypotenuse of an isosceles right triangle with side lengths 2, so the lengths of KL and MN are both 2√2.

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For part (c), we used the shortcut that the hypotenuse of an isosceles right triangle is √2 times the leg length.

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