Mathematics High School

HELPP
the equation is y=(1/3)^x

HELPPthe Equation Is Y=(1/3)^x

Answers

Answer 1

Answer:

For a function y = f(x), the domain is the set of the possible values of x that we can input, while the range is the set of the possible outputs of the function.

In this case we gave y = f(x) = (1/3)^x

A) Domain

To see the domain we always start assuming that the domain is the set of all real numbers, and then see if there is a real number that causes any problem.

(for example if we had a denominator like "x - 2", the point x = 2 would cause problems because it would make the denominator equal to zero, and we can not divide by zero)

Particularly because x is the exponent, we do not have any problem here, so the domain is the set of all real numbers:

D: = R

B) Range.

To find the range we usually need to find the smallest value of the function.

Here we have:

y = (1/3)^x

Is really easy to see that as x increases, the denominator increases but the numerator remains the same, then as x increases, the value of y decreases.

For example for x = 100 we will have:

y = 1/3^100 ≈ 0

(you also can see that y will never be a negative value, and as x increases the value of y tends to zero)

then:

0 < y

And if we have x negative, like x = -3 for example.

y = (1/3)^-3 = (3/1)^3 = 3^3 = 27

So if x decreases (or increases in the negative value) then the value of y increases, so we do not have any upper limit.

Then the range is only defined by

0 < y.

We can write the rane as:

R: (0, ∞)

C) The y-intercept is the value of y when x= 0

y = (1/3)^0 = 1

(for any number different than zero N, we have that N^0 = 1)

the y-intercept is 1

D) The asymptote is a tendency to a given value, such that the function never does reach that value.

Here we have two asymptotes.

y tends to infinity as x tends to negative infinity.

y tends to zero as x tends to infinity.

Related Questions

What Dose 2+2 =
I've been stuck on this question for 7 years
/\ (Not Really to all the ❄)​

Answers

Answer:

4

Step-by-step explanation:

took the test and got it right!

The area of a circle is 121π cm squared. What is the circumference in terms of π?

Answers

Answer:

38 cm cubic

Step-by-step explanation:

C = 2√πA

C = 2√3,14 x 121

C = 2√379,94

C = 2 x 19,49204966133629

C = 38,98409932267258 = 38 cm cubic

hope this help !

(don't forgot to make this the best answer)

In August, Emily's Clothing Store sold 98 long sleeve shirts with the ratio of short sleeve to long sleeve being 3:7. How many short sleeves were sold?

Answers

Answer:

the number of short sleeves sold is 42

Step-by-step explanation:

The computation of the number of short sleeves sold is shown below:

Given that

The clothing store sold 98 long sleeve shirts

And, the ratio of short sleeve to long sleeve is 3:7

So, the number of short sleeves sold is

= 98 × 3 ÷ 7

= 42

Hence, the number of short sleeves sold is 42

Meredith is playing games at the arcade to earn tickets that she can exchange for a prize. She has 278 tickets from a previous visit, and she earns 5 each game she plays. If Meredith needs 388 tickets to exchange for the prize, how many games does Meredith need to play?

Answers

I believe the answer would be 22

I am assuming she already has 278, so the amount of tickets needed needs to be found
388-278 = 110

Since she gets 5 tickets from each game, you divide
110/5 = 22

So she would need to play 22 games to get the remainder of the tickets

Please correct me if I am wrong, have a good day!

Also, the picture is blacked out, from my personal experience, the picture needs to exist in your device as in your camera roll before you upload it.

this is algebra please help​

Answers

Answer:

1/8 and 1/16

Step-by-step explanation:

The negative exponent just means to right the negative inverse.

For example:

4^-2 means 4^2 but in a fraction

the answer would be 1/16

Find the median of the data. 12,33,18,28,29,12,17,4,2

Answers

Step-by-step explanation:

Answer:17

Step-by-step explanation: you’re welcome

if 1 inch is = to 5 mile then what is the actual distance in 2.5 inches

Answers

Answer:

Step-by-step explanation:

1 in^2 = 5 mi * 5 mi = 25 mi^2

2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2

Solve the quadratic equation
3x²-5x-7=0

Answers

Answer:

Step-by-step explanation:

The coefficients of this quadratic equation are {3, -5, -7}.  The discriminant (part of the quadratic formula) is b^2 - 4ac, which here is 25 - 4(3)(-7), or 109.

This positive discriminant indicates that there are two real, unequal roots.  

They are:

      5 ± √109

x = ------------------

              6

someone pls just comment something​

Answers

Answer:

Eleventeen

Step-by-step explanation:

Answer:

THIRTEEN

Step-by-step explanation:

The sum of the three interior angles of any triangle equal 180 degrees. One right triangle has one acute angle of 30 degrees.
Find the second acute angle.
Paragraph: Describe how to find the second acute angle.

Answers

Answer: right triangle is a triangle with one angle equal 90. That being said, the total of all angles = 180. 1 of them is 90 which makes the sum of the 2 acute angles = 90. One acute angle = 30 => the second one = 90 - 30 = 60 degree

Step-by-step explanation:

Please help I really need it

Answers

Answer: The answer is the Median(D)

Step-by-step explanation:

Answer:

 Median

Step-by-step explanation:

Math question 10 points!!!

Answers

Base = 5cm
Good Luck

What is the angle measurement of angle DBC?
Help please

Answers

45 _____________________\_

Help me please. Stuck on y is [] times x.

Answers

Answer:

1 2/3

hope this helps :)

Step-by-step explanation:

Answer:

y=0.6x

Step-by-step explanation:

y=kx

k=y/x

k=9/15=18/30=27/45=36/60=0.6

What is the standard form of (6,-3),(-2,-3)

Answers

Answer:

2x - 3y = 21

Adding and subtracting integers not a lot!!

Answers

Answer:

??

Step-by-step explanation:

Which of the following images show a rotation of 270 counter-clockwise?

Answers

Answer:

Image A

Step-by-step explanation:

Fred finishes one assignment in 3 hours. Assuming he works at a constant pace over several hours, write an equation that depicts the relationship between time in hours h and number of assignments finished f.

Answers

The equation that depicts the relationship between time in hours h and number of assignments finished f is f  = 3h

How to write an equation?

He finishes one assignment in 3 hours.

He does the assignment at a constant rate over several hours.

Therefore, the equation that depicts the relationship between time in hours h and number of assignments finished f is as follows:

where

h = time in hoursf = number of assignment

Hence, the equation is :

f  = 3h

learn more on equation here: https://brainly.com/question/10091688

#SPJ1

The angles listed from largest to smallest are __________________
I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!

Answers

Answer:

B, A, C

Step-by-step explanation:

That's a 30-60-90 triangle.

Choose one
Help me please

Answers

Answer:

A

Step-by-step explanation:

Smallest to Largest

Natural numbers

Whole numbers

Integers

Rational numbers

Solve for x, rounding to the nearest hundredth.
25 • 3^3x = 250

Answers

x= 10/27

Hope you have a great day

help please . thank you

Answers

PLEASE DONT USE THAT LINK

SOMEONE PLEASEEEE HELPPPP?!!?!?!?!!?!?!??!

Answers

(4,5) find x then find y. Hope this helps!

81 is divisible by?

1. 3
2. 4
3. 6
4. 8

Answers

Answer:

3 is the correct answer hope it helps

A man who is X years old now has a son aged 5 years. In 7 years the father will be 4 times as old as his son will be then . How old is the father now​

Answers

Answer:

48

Step-by-step explanation:

Answer:

41yrs old

Step-by-step explanation:

now. 7yrs later

F. S. F. S.

x 5. x+7. 5+7

F=(5+7)4

(5+7)4=x+7

20+28=x+7

48=x+7

x=48-7

x=41

so the father is 41yrs old

What is the surface area of the cone? (Use 3.14 for π.)



339.12 cm ^2
715.92 cm ^2
307.72 cm ^2
417.62 cm ^2

Answers

Answer:

tambil anseeciot

Step-by-step explanation:

Helpppppp plz I’ll give branliest

Answers

x^2+20

But im not sure...

What is the range of ordered pairs represented on the graph? ​

Answers

Answer:

Step-by-step explanation:

1st. (4,6)

2nd. (-6,-2)

3rd. (8,4)

4th. (-4,-10)

A bag contains colored marbles.

5 marbles are red.
3 marbles are green.
8 marbles are blue.
4 marbles are white.

A marble will be randomly selected from the bag. What is the probability that the marble selected will be blue?

A. 0.8
B. 0.5
C. 0.4
D. 0.2

Answers

Answer: C.) 0.4

Explanation: 8/20 chances -> 2/5 -> .4

List the nurnbers in order from least to greatest. 1 -1,8,-18,-5,2,1 The numbers in order from least to greatest are​

Answers

-18,-5,-1,1,1,2,8 Hope this helps!
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