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drek231 [11]
2 years ago
7

Which option is an even function?

Mathematics
1 answer:
Grace [21]2 years ago
4 0

The correct answer is option D. Which is the even function is f (x) = x⁴.

<h3>What is an even function?</h3>

The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).

let us check the given four options:-

A f(x) = √x ;  f(-x) = √-x  here f(x) ≠ f(-x)

B f(x) = x ;  f(-x) = -x    here f(x) ≠ f(-x)

C f(x)  = x³ + 1 ; f(-x) = -x³ + 1  here f(x) ≠ f(-x)

D f(x)  = x⁴  ;  f(-x) = (-x)⁴ = x⁴  here f(x) = f(-x)

We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).

Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.

To know more about even functions follow

brainly.com/question/2284364

#SPJ1

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The graph below displays the wrist circumferences and heights of six students in Alyssa’s classroom.
coldgirl [10]

Answer:

Option D(No because the wrist circumference of 16 cm is paired with two heights.


Step-by-step explanation:

In the given graph we have  set of points representing the wrist circumferences and heights of six students in Alyssa’s classroom.

x axis  represents the wrist circumference while  y axis represent the height.

Any relation is called a function if for one value of x we have only one value of y. If the graph passes the vertical line test that is if a vertical line drawn touches the graph at only one point then the graph is called a function.In the given graph for x value x=16 there are two y values 162 and 165.So the graph is not a function.

Among all the options Option D(No because the wrist circumference of 16 cm is paired with two heights.) is the right answer.

5 0
3 years ago
Read 2 more answers
Help I keep getting an answer that is not an option
horsena [70]

Answer:

6600

Step-by-step explanation:

y = 15000( 1.2) ^ (x/3)

Let x = 6 years

y = 15000( 1.2) ^ (6/3)

y = 15000( 1.2) ^ (2)

y = 15000( 1.44)

y =21600

This is the total amount in the account

We want the profit

Subtract the original amount in the account

21600-15000

6600

8 0
3 years ago
An altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side true or false
sashaice [31]
The answer is true. An altitude of a triangle is the perpendicular segment from a vertex to the line containing the opposite side.
3 0
2 years ago
Is x-3/5 = N and N = 6, what is the value of x?
scZoUnD [109]

Answer:

x = 33/5

Step-by-step explanation:

x - 3/5 = n.......n = 6

so we sub

x - 3/5 = 6......add 3/5 to both sides

x = 6 + 3/5...convert using common denominator of 5

x = 30/5 + 3/5

x = 33/5 <===

check...

x - 3/5 = 6

33/5 - 3/5 = 6

30/5 = 6

6 = 6 (correct)...so it checks out

5 0
3 years ago
Read 2 more answers
Each day, Robin commutes to work by bike with probability 0.4 and by walking with probability 0.6. When biking to work injuries
kvasek [131]

Answer:

64.65% probability of at least one injury commuting to work in the next 20 years

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}&#10;

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Each day:

Bikes to work with probability 0.4.

If he bikes to work, 0.1 injuries per year.

Walks to work with probability 0.6.

If he walks to work, 0.02 injuries per year.

20 years.

So

\mu = 20*(0.4*0.1 + 0.6*0.02) = 1.04

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}&#10;

P(X = 0) = \frac{e^{-1.04}*1.04^{0}}{(0)!} = 0.3535&#10;

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3535 = 0.6465

64.65% probability of at least one injury commuting to work in the next 20 years

3 0
2 years ago
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