Which graph represents an odd function?

Mathematics

2 answers:

ZanzabumX [31]3 years ago

5 0

Answer:

The first graph in the second image is an odd function.

Step-by-step explanation:

An odd function has a graph that it's symmetric about the origin, that is, the origin is like a mirror. In other words, the graph of an odd function has a specific symmetry about the origin.

So, we have to look for those graph that has symmetrical points in opposite quadrants, I and III or II and IV.

You can observe that the first graph of the second image has this behaviour. You can see that the points are symmetrical across the origin. If you graph a line defined as y=-x, you will observe that such line acts like a mirror.

Therefore, the odd function is the first graph in the second image.

kari74 [83]3 years ago

4 0

Answer:

The second graph represents an odd function.

Step-by-step explanation:

For a function f to be odd, it should satisfy the following equation:

f(-x) = -f(x)

The graph of an odd function will always be symmetric about the origin.

By observing the graphs we can say that:

1st graph is symmetric about y-axis.Hence it is not an odd function.
2nd graph is symmetric about origin and hence it is an odd function.
3rd and 4th graph do not have any symmetries.

Hence 2nd graph represents an odd function.

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Which statements are true regarding the area of circle

Pavlova-9 [17]

Question:

Which statements are true regarding the area of circle D? Select two options.

The area of the circle depends on the square of the radius.

The area of circle D is 36Pi centimeters squared.

The area of circle D is 324Pi centimetres squared

The area of the circle depends on the square of pi.

The area of the circle depends on the central angle.

Answer:

The following statements are true regarding the area of circle D:

The area of the circle depends on the square of the radius
The area of circle D is 324Pi centimeters

Step-By-Step Explanation:

As we know, the formula for area of the circle is given by,

$A=\pi r^{2}$

Where, r = radius of the circle. In figure, CD = radius = 18 cm

So, the circle area can be measured as

$A=\pi(18)^{2}=324 \pi \mathrm{cm}^{2}$

From this, concluding that the circle area depends on radius square and its value is $324 \pi \mathrm{cm}^{2}$ . Hence, the statement given in option A and C are correct (reveals that option B is incorrect).

As the Pi is constant, the circle radius cannot depend on Pi value and Option D also incorrect. The area of sector of circle only depends on ratio of central angle to entire circle (So option E also incorrect).