All categories

4 years ago

Which graph represents an odd function?

Mathematics

2 answers:

ZanzabumX [31]4 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]4 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.

You might be interested in

X 6<br>------ ==== ------<br>24 9

Gekata [30.6K]

The answer is x=16 because that’s how math works

4 0

3 years ago

Q2- Write a formula that converts x weeks to y hours

bogdanovich [222]

x weeks * 7 days/week * 24 hours/day = 168x hours

168x i guess

4 0

3 years ago

Karl has $400 in a savings account. The interest rate is 10%, compounded annually. Which type of model best fits this situation?

n200080 [17]

Answer:

He prolly only got like 300 some left

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

use the formula a=p(1+r/n)nt to find the compound interest account . zakk deposited $5600.0in an account which compounded 1.9%qu

Komok [63]

Answer:

$A=\$6,768.75$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=10\ years\\ P=\$5,600\\ r=0.019\\n=4$

substitute in the formula above

$A=\$5,600(1+\frac{0.019}{4})^{4*10}$

$A=\$5,600(1.00475)^{40}=\$6,768.75$

5 0

3 years ago

Average rate of change for f(x) = x2 − 3x − 10 from x = −5 to x = 10.

11111nata11111 [884]

The average rate of change is the slope of the secant line connecting the points on f(x) from x=-5 to x=10.

In other words, it is just the slope of the straight line connecting the points
$(-5,f(-5)) \: and \: (10,f(10))$

So we were given ,

$f(x) = {x}^{2} - 3x - 10$

At
$x = - 5$
$f( - 5) = {( -5 )}^{2} - 3( - 5) - 10$
$f( - 5) = 25 + 15- 10$
$f( - 5) = 30$

Also at
$x = 10$
$f( 10) = {( 10)}^{2} - 3( 10) - 10.$
$f( 10) = 100- 30 - 10$
$f( 10) = 60$

The average rate of change
$= \frac{f(10) - f( - 5)}{10 - - 5}$
$= \frac{60- 30}{15}$
$= \frac{30}{15}$
$= 2$

3 0

3 years ago