Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements: 1. As x increases infinitely, the y-values are continually doubled for each single increase in x. 2. As x decreases infinitely, the y-values are continually halved for each single decrease in x. She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine's statements and her conclusion?

Answers

Answer 1

Answer:

"as x increases infinitely, the y-values are continually doubled for each single increase in x".

Step-by-step explanation:

Given the exponential equation f(x) = 2x of which Geraldine is asked to explain the limits on the range, the expression that best explains the accuracy of Geraldine's statements and her conclusion is that "as x increases infinitely, the y-values are continually doubled for each single increase in x".

for example let y = f(x) so thet y = 2x

for every va;ues of x, y will be doubled as shown;

If x = 1

y = 2(1) = 2

If x = 2

y = 2(2) = 4

If x = 3

y = 2(3) = 6

I can be seen that the value of y doubles for all values of x hence making her first statement accurate.

The second statement 'As x decreases infinitely, the y-values are continually halved for each single decrease in x'. is not totally right because the y values may not be halved for some values of x as x increases.

Her conclusion is not also right because there are  limits within the set of real numbers on the range of this exponential function. for every value of x, y will always tend to a real value.


Related Questions

How do you write 8.43 × 10^-4 in standard form?

Answers

Answer:

0.000843

Step-by-step explanation:

simplify the expression:

8.43 × 0.0001

now simplify:

0.000843

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Pls consider marking my answer as Brainliest! It would mean a lot!

Which equation represents the line that is parallel to 5x +y = 13 and passes through the point (15,-31)? ​ Show complete working format please

Answers

Answer:

Step-by-step explanation:

y = -5x + 13

y + 31 = -5(x - 15)

y + 31 = -5x + 75

y = -5x + 44


What is the length of line segment KJ?
O 2/3 units
O 32 units
M 3 v
O 3/3 units
O 375 units

Answers

the answer two this is the second one
it’s the second one ur welcome

If the number of gallons of gas is known, can you find the number of miles driven?
Explain how this value could be calculated.

PLEASE SOMEONE HELP ME!!!!!!

Answers

Answer:

It cant

Step-by-step explanation:

car use gas at differnt rates

It can’t
Cars use gas at different rates

Please I need some answers

Answers

a is answer please tell brinlest answer

A grocery store sells a bag of 6 oranges for $3.30. What is the unit cost?

Answers

Answer:19.8$

Step-by-step explanation:

A muffin recipe uses 334 cups of flour for every 12 cup of milk. Which proportions could you use to solve for the cups of milk needed for 513 cups of flour?

Answers

Answer:

14278.5 cups of flour needed

Step-by-step explanation:

-(x-7) + (5/3) = 2(x+9) wht does x equal

Answers

Answer:

-28/3=x

Step-by-step explanation:

-(x-7) + (5/3) = 2(x+9)

-x+7+5/3=2x+18

7+5/3=2x+18-x

7+5/3=x+18

5/3=x+18-7

5/3=x+11

5/3-11=x

Ahora todo se pasa a base 3

[tex]\frac{5-33}{3}[/tex]=x

-28/3=x

What was the error in this equation?

Answers

Answer:

The error is the solution.

The solution is all real numbers, or infinite amount of solutions.

Step-by-step explanation:

Step 1: Write equation

-4(2n - 3) = 12 - 8n

Step 2: Solve for n

Distribute -4: -8n + 12 = 12 - 8nSubtract 12 on both sides: -8n = -8nAdd 8n to both sides: 0 = 0

Here we see that n can equal any number. If you plug in any number n, it will render the equation true. Therefore, our solution is n = infinite amount of solutions.

n = 0 is only slightly correct. 0 does work as the solution, but there are solutions as well.

In the image above, what do the red arrows on lines mean?

Answers

Answer: ............................Step-by-step explanation:You need to attach an image

the nth term of a sequence is 3n squared divided by 2 what is the second term of the sequence?

Answers

Answer:

6.

Step-by-step explanation:

f(n)=3n²/2

f(2)=3(2²)/2

f(2)=3(4)/2

f(2)=12/2

f(2)=6

The second term of the sequence 3n²/2 is 6.

What is substitution?

Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Given, The nth term of a sequence is 3n²/2.

Let f(n) = 3n²/2.

Now, to obtain the second term of the sequence can be obtained by replacing n with 2.

∴ f(2) = 3(2)²/2.

f(2) = (3×4)/2.

f(2) = 12/2.

f(2) = 6.

learn more about sequences here :

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a number multiplied by 5 and increased by 7 the result is 62

Answers

Answer:11

Step-by-step explanation: subtract 7 from 62, which give you 55, divide by 5 which gives you 11.

Answer:

Step-by-step explanation:

5X+7=62

5X=55

X=11

 

A new car is purchased for 24800 dollars. The value of the car depreciates at 7.25% per year. To the nearest tenth of a year, how long will it be until the value of the car is 9000 dollars?

Answers

Answer:

pretty sure the answer is 13.5 years. sorry if wrong

Step-by-step explanation:

it’ll take 13.5 years for the car value to be $9000

−38÷7/12 another math question.

Answers

Answer:

-0.45238095238

Step-by-step explanation:

-38 divided by 7/12= -0.45238095238

You can drive 607.5 miles with 15 gallons of gas. How many miles can you drive with 1 gallon of gas?
Screenshot below

Answers

Answer:

40.5

Step-by-step explanation:

Since there's no converting, you can just divide 607.5 by 15 to get the answer

what is the simplest form

Answers

Answer:

c. 5 time the square root of 3

What’s is the answer to 9^11 divided by 9

Answers

well you would type in 9^11 on your calc, then divide the ans by 9 resulting in

3486784401

Answer: 3,486,784,401

Step-by-step explanation:

9 raised to the 11th power is 31,381,059,609

Then divide that by 9 to get 3,486,784,401

Find the sum of 3 - a - 5a2

Answers

a=3/5? i think i did it in my head

what is 19 percent in decimal?​

Answers

Answer:

0.19

Step-by-step explanation:

Answer:

0.19

Step-by-step explanation:

divide 19 by 100 (do this because percent basically means "per 100". anything you want to convert into a decimal is going to be out of 100, so you always divide by 100 when converting percent to decimal.

you will end up with 0.19

hope this helps you :)

What is the average speed in miles per hour of a car that travels 961.95 miles in 15.9 hours.

Answers

Answer:

60.5 miles per hour

Step-by-step explanation:

Take the miles driven and divide by the hours

961.95 miles/15.9hours

60.5 miles per hour

Answer:

60.5 miles per hour

Step-by-step explanation:

961.95 divided by 15.9 should give you your answer which is 60.5

Adriana y Andrés caminan juntos todos los días. El recorre 150 metros y ella 100 metros por cada minuto de caminata. ¿Cuál es la distancia que recorre cada uno después de 3,6,8,9 y 10 minutos?

Answers

Answer:

hi  o whae your  ayt fk hbod

Step-by-step explanation:

What is 16 divided by 12?

Answers

Answer:

The answer is 4/3

Step-by-step explanation:

Hope this helps!!

For each value of x, determine whether it is a solution to x - 42 = 7.​

Answers

Answer:

67- No  46-No   49-Yes   47-No

Step-by-step explanation:

Hope this helps!

Answer:

67...No

46...No

49...Yes

47...No

Step-by-step explanation:

x - 42 = 7

Add 42 to both sides

x = 49

Translate the equation into a verbal sentence 3y+8=32

Answers

Answer:

32 Is Eight More Than 3 Times A Number

Explanation:

32 Is Eight More Than: + 8 = 32

3 Times A Number: 3y

Put Everything Together: 3y + 8 = 32

Step-by-step explanation:

Hey there!

3y+8 = 32 --> The sum of thrice of a number and 8 is 32.

Reason:

When solving this word problem, we let "x" as variable as there is unknown number.After that as in word problem it says "thrice a number" it gives 3x.Then as there is "the sum of the unknown number and 8" it means 3x+8.Lastly the sum would be equal to 3x+8=32.

So, the word problem for this equation is " The sum of thrice of a number and 8 is 32.

Hope it helps...

2m=-6n-5

Solve for M

Answers

Hey :)


m= -3n -5/2

The equation is in standard form
2m = −6n −5


Divide both sides by 2
2m/2 = -6n-5/2


Dividing by 2 undoes the multiplication by 2
m= -6n -5/ 2


Divide −6n−5 by 2
m= -3n -5/2

Hope this helps :)

m= -3n -5/2

What is mathematical equation?

Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account. An example of an equation is 2+2 = 3+1.

In the given equation,

2m = −6n −5

Divide by 2 on both sides, we get

2m/2 = −6n/2 −5/2

m = -3n - 5/2

Therefore, our value of m is in terms of n, which is -3n - 5/2

Read more about mathematical equation here:

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Show work.

Simplify 5! 3! / 2! 2!

Answers

Answer:

Simplify the expression.

Exact Form:

41 /12

Decimal Form:

3.41 6

Mixed Number Form:

3  5 /12

Help me please I need to answer this

Answers

Answer:

it is $150 in three months

Answer:

$50 per month

Step-by-step explanation:

After 3 months there's $150, and after 6 months there's 300. When averaged out (150/3 and 300/6), both equal 50, meaning the constant rate of change is $50 a month.

In which interval is the median?
A sample of 50 students was surveyed about their time
spent in front of a screen (laptop, tablet, phone, etc.).
Each interval contains the left endpoint but not the
right endpoint.
[4,5)
[5,6)
[6,7)
[7,8)
Hours of Screen Time per Day
10
B
Frequency
2
6
8
10 12

Answers

B I think sorry if it’s wrong

Answer:

B is correct! Took the quiz 2021 <3. Yall b safe!

Step-by-step explanation:

to remain on the cheerleading squad,Lakita must attend at least 3/5 of the study table sessions offered . she attends 15 sessions . if Lakita met the requirements, what is the maximum number of study table sessions ?

Answers

It would be 9 because 3/5 of 15 is 9

WHAT IS FUN ABOUT MATH

Answers

Answer:

Maths is universally common. People in every country use maths and all its branches. ... Give it a try, look around you, measure something, solve a sum, count something and there are so many more ways you can start knowing maths. Maths is interesting, it's just numbers to play with.

Answer:

what's fun about math is when you figure out the equations and questions.

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