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?

Statement 1 is incorrect because the y-values are increased by 2, not doubled.
Statement 2 is incorrect because the y-values are doubled, not halved.
The conclusion is incorrect because the range is limited to the set of integers.
The conclusion is incorrect because the range is limited to the set of positive real numbers.

Answers

Answer 1

Answer:

The conclusion is incorrect because the range is limited to the set of positive real numbers.

Step-by-step explanation:

Answer 2

The conclusion is incorrect because the range of the function f(x) = 2x includes all positive real numbers.

What is a function?

A relation is a function if it has only One y-value for each x-value.

Statement 1 is actually correct, because as x increases by 1, the value of f(x) = 2x is multiplied by 2.

Therefore, the y-values are indeed doubled for each single increase in x.

Statement 2, however, is incorrect, because as x decreases by 1, the value of f(x) is divided by 2, not halved.

Therefore, the accuracy of Geraldine's statements is mixed.

The range of the function f(x) = 2x includes all positive real numbers, not just integers or positive integers.

Therefore, the conclusion is incorrect because the range of the function f(x) = 2x includes all positive real numbers.

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Related Questions

Pls help I’m bad at math no matter how much I try

Answers

Answer:

9/1 = 0.9

2 = 2.0

3 1/10 = 3.1

10 = 100

Step-by-step explanation:

The population of a city is 51,000 and is decreasing at a rate of 1.75% per year. Use an exponential function to find the expected population in 5 years. Round to the nearest whole number.

Answers

Answer:

46,691

Step-by-step explanation:

Given that:

Initial population, P = 51000

Decreasing rate = 1.75% = 0.0175

Time, t = 5 years

Using the relation :

A (t) = Po * ( 1 - r)^t

A(t) population after t years

Po = Initial population figure

r = rate of decrease

A(t) = 51000 * (1 - 0.0175)^5

A(t) = 51000 * (0.9825)^5

A(t) = 51000 * 0.91550937355400390625

A(t) = 46690.9780

Hence, population after 5 years will be : 46,691

BRAINLIEST

Like terms of 6ab^2

1. -3ab

2. 2ab^2

3.-6a^2 b^2

4.-5ab^2

5.6ab

Answers

Answer:

2nd option is the right answer

hii please please help i’ll give brainliest if you give a correct answer tyyyyy

Answers

6 because Elena is gaining by 2 miles every hours, so if there is a 12 mile difference it will take Elena 6 hours to catch up

Plz can someone help me w/ this! ^_^

Answers

Answer: it would be a

Step-by-step explanation:

from my understanding you look at the sides and a traingale has 360 in total of the area.

so

Helppppl +13 points & +star

Answers

Answer:

hope it helps

Step-by-step explanation:

...........

The basic ratio of blue to red for paint is 4:7. How many quarts of blue paint should be mixed with 21 quarts of red paint to get purple?

Answers

If I’m not mistaken it should be 12 quarts of blue mixed with 21 red

Sarah had 36 free throw attempts during a game and made at least 75% of the free throws.

What is the greatest number of free throws Sarah could have missed during the game?

Answers

Answer:

9 free-throws

Step-by-step explanation:

75% of 36 = 27

36-27=9

She could have missed up to nine free throws

Answer:

3

Step-by-step explanation:

25% of 12 is 3. Brainliest pls :)

Solve the equation: 3(x + 2) = 24

Answers

6

Step-by-step explanation:

Answer: x=6

Step-by-step explanation: 3(x+2)=24

(3)(x)+(3)(2)=24

3x+6=24

3x+6−6=24−6

3x=18

3x/3=18/3

x=6

Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6

Answers

Answer:

They both equal

Step-by-step explanation:

The statement is true about ∠2 and ∠6  is corresponding angles.

What is line?

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

Parallel lines j and k are cut by transversal t .

We have to find  statement is true about ∠2 and ∠6.

According to given question we have

Parallel lines j and k are cut by transversal t .

So,

∠2 = ∠6 ( corresponding angles)

∠1 = ∠5 ( corresponding angles)

Therefore, the statement is true about ∠2 and ∠6  is corresponding angles.

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Find the product.
-3( -12)

-3( -12) =

Answers

36 because -3x-12 = 36

How many 3/4 are in 8?

Answers

Answer:

6, i think

Step-by-step explanation:

Answer:

2

3/4 + 3/4= 6/4 which goes into 8 twice

Unit 11: Volume and Surface Area Homework 1: Area of Plane Figures- Find Area.

Answers

Answer:

4. 432 cm^2/2 = 216 cm^2

6. 309.76 mm^2

8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2

484/2 = 242pi or 759.88 in^2.

10. 297.84 in^2/2 = 148.92 in^2

Step-by-step explanation:

To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.

A square is equal on all sides, so you would just square the measurement of the one side.

To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).

I hope this helps!

The area of a shape is the amount of space it can occupy.

The areas of the shapes are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively

(a) Triangle

Given that:

[tex]Base = 27cm[/tex]

[tex]Height = 16cm[/tex]

The area is:

[tex]Area = 0.5 \times Base \times Height[/tex]

[tex]Area = 0.5 \times 27cm \times 16cm[/tex]

[tex]Area = 216cm^2[/tex]

(b) Square

Given that:

[tex]Length = 17.6mm[/tex]

The area is:

[tex]Area = Length^2[/tex]

[tex]Area = (17.6mm)^2[/tex]

[tex]Area = 309.76mm^2[/tex]

(c) Semi-circle

Given that:

[tex]diameter =44in[/tex]

First, calculate the radius (r)

[tex]r = 0.5 \times diameter[/tex]

[tex]r = 0.5 \times 44in[/tex]

[tex]r = 22in[/tex]

The area is:

[tex]Area = \frac{\pi r^2}{2}[/tex]

[tex]Area = \frac{3.143 \times (22in)^2}{2}[/tex]

[tex]Area = 760.61in^2[/tex]

(d) Triangle

Given that:

[tex]Base = 20.4in[/tex]

[tex]Height = 14.6in[/tex]

The area is:

[tex]Area = 0.5 \times Base \times Height[/tex]

[tex]Area = 0.5 \times 20.4in \times 14.6in[/tex]

[tex]Area = 148.92in^2[/tex]

Hence, the areas are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively

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Plz can I get some help thank u sm

Answers

Step-by-step explanation:

The sum of two opposite interior angles equals an exterior angle

50+?=115

?=115-50=65°

Answer:

60 degrees

Step-by-step explanation:

angles on a straight line add up to 180 degrees.

so do 180-115=60

because its an equilateral triangle, you can check whether it adds up to 180

60+60+50=180

please mark me as brainliest!!<3

Solve -1/2 + (3/4 x 4/9) = ?​

Answers

Answer:

=-1/6

Step-by-step explanation:

-1/2 + (3/4 * 4/9)

3/4 * 4/9 = 12/36

12/36 simplify to 1/3

-1/2 + 1/3 = -1/6

plz help w these 5 problems. i’m begging anyone ! please please please .

Answers

Answer:

what the question

.

.

.

.

.

PLEASE HELP ME I'M BEHIND ON MY MATH AND I CAN'T FIND ANY ANSWERS!!! :(


Two banks offer to loan you money for a big purchase. How would you use your knowledge of simple interest to determine which loan to choose for this purchase?


(20 points)

(Written Response)

( E d g e n u i t y 2021)

(Mathematics 7 A)

(Journal Activity JAN 05.)


** Please answer to this if you did it already did this assignment already..! I'm behind on my math and I can't find any thing to help me out! **

Answers

Answer:

you would see which bank has a good business and have loyal customers and which one is giving you a better offer

Step-by-step explanation:

HOPE THIS HELPED!

Answer:

e.

Step-by-step explanation:

(Exponential Models)

a.) Suppose you invest $500 in a savings account that pays 3.5% annual interest. How much will be in the account after 5 years?

$_ _ _ . _ _

b.) Suppose you invest $500 in a savings account that pays 3.5% annual interest. When will the account contain at least $650?

After _ years.

Answers

A- 3.5 percent of 500 then divide that by 5
B- same thing just add then divide

Tina bought some gum. The number of pieces of each flavor of gum she bought is shown below. Gum Tina Bought Flavor of Gum Number of Pieces Grape 40 Cherry 40 Peppermint 20 TOTAL 100 What percent of the total number of pieces of gum are peppermint flavor?​

Answers

Answer:

20/100 * 100=20 %

Answer:

I think it should be....

20%

1. Use the points in the diagram to name the figure.
C
D
is is 8 IA
DC

Answers

Answer:

its the last one maybe

DC

.
What is (4x2-9X+1) -(5x2-x-7) written in standard form?

Answers

Answer:

(9-9x) - (3-x)

Step-by-step explanation:

(4x2 -9x +1) - (5x2 -x -7)

4x2+1= 9. 5x2-7= 3

(9-9x) - ( 3-x)

Please answer all of it. If good explanation will mark as brainliest.

Answers

Answer:

3. H

4.O

5.O

6.O

Step-by-step explanation:

Oblique asymptote: When the numerators highest exponent is 1 more than the denominators highest exponent. (x^2 is higher than x^1)

Horizontal asymptote: When the exponents are equal. (x = x, x^2 = x^2)

Sorry I don't know how to do the second part but I hope this helps.

solve

12 - y = 5

could you explain how to do it :]

Answers

Answer:

this is

12-y=5

12-y =5

y=5- 12

then y=7

could you see this this correct

Answer:

7

Step-by-step explanation:

do 12-5 which is 7

that is the answer

you need to find which number needs to be subtracted from 12 to make 5!


The changes in the depth of snow, in inches, at a ski resort for four days are shown below.
-1/8, 3/4, 3/4, -1/2

What is the average change in the depth of the snow during the 4-day period?
A. 2 1/8
B.3 1/2
C. 7/32
D. 17/32

Answers

Step-by-step explanation:

Total change = (-1/8) + (3/4) + (3/4) + (-1/2) = 7/8.

Average change = Total change / 4 days

= (7/8) / 4

= 7/32. (C)

What is a SKEW in Geometry?

Answers

Two or more lines which have no intersections but are not parallel

find the value of x.

Answers

Answer:

Step-by-step explanation:

the ration of the 2 figures are 4/3 from the larger to the smaller one

this means that 4/3*6=8

x-1=8

x=9

choice c


An object flies 450 m/s. How many meters will is
travel in one hour?

Answers

Answer:

1,620,000 meters

Step-by-step explanation:

Speed-   450 meter----- 1 second

1 minute = 60 seconds

60 minutes (1 hour) = 3600 seconds

Distance in 1 hour

1 ------ 450

3600---- X

X= 3600 x 450

x= 1,620,000 meters

Convert the equation

2y + 4x = 10 to y = mx + b form

Show your steps.

I’ll mark as brainiest

Answers

Answer:

y=-2x+5

Step-by-step explanation:

Answer:

y=-2x+5

Step-by-step explanation:

First, subtract 4x from both sides. You will get 2y=-4x+10. Then divide both sides by 2 to isolate the y. You will get y=-2x+5.

The ratio of children to adults in a supermarket is 1 : 5
There are 15 children in the supermarket.
How many adults are in the supermarket?
pls answer quickly thanks :)

Answers

Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else

Step-by-step explanation:

Leroy wrote an expression that is equivalent to (20+10)divided (2•3)

Answers

Answer:

30/6

Step-by-step explanation:

20+10=30

2*3=6

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