the graph shows two exponential functions. Choose, №12349154, 31.01.2022 09:15

Mathematics

The graph shows two exponential functions. Choose the correct statement concerning their bases A) C = -b B) c = 1 - b C) c = b - 1 D) c = 1/b

Step-by-step answer

P Answered by PhD

10

D

Step-by-step explanation:

The two graphs are reflections of each other in the y-axis

If one is f(x), other is f(-x)

c^x = b^(-x)

c = b^-1

c = 1/b

Mathematics

The graph shows two exponential functions. Choose the correct statement concerning their bases A) C = -b B) c = 1 - b C) c = b - 1 D) c = 1/b

Step-by-step answer

P Answered by PhD

10

D

Step-by-step explanation:

The two graphs are reflections of each other in the y-axis

If one is f(x), other is f(-x)

c^x = b^(-x)

c = b^-1

c = 1/b

Mathematics

07.02 analyzing exponential functions project how much do you share on social media? do you have accounts linked to your computer, phone, and tablet? the average teen spends around 9 hours per day online, and checks his or her social media account about 10 times each day. when an image or post is shared publicly, some students are surprised at how quickly their information travels across the internet. the scary part is that nothing online is really private. all it takes is one friend sharing your photo or updates with the public to create a very

Step-by-step answer

P Answered by Specialist

1

General formula used in exponential problems:
$f(x)=a* b^{x}$
Where:
a=initial number of friends(followers)
b= rate of share (by what amount does a increase each day)
x= number of days past after initial share

Harrison:
$f(x)=5* 2^{x}$
Anita:
$f(x)=42* 2^{x}$
Juan:
$f(x)=3* 3^{x}$
Krista:
$f(x)=8* 3^{x}$

"Using the functions for each student, predict how many shares each student's post will have received on Day 3 and then on Day 10. Justify your answers."
We insert numbers 3 and 10 in formulas instead of x.
Day 3:
Harrison:
$f(x)=5* 2^{3} =40$
Anita:
$f(x)=42* 2^{3} =336$
Juan:
$f(x)=3* 3^{3} =81$
Krista:
$f(x)=8* 3^{3}=216$

Day 10:
Harrison:
$f(x)=5* 2^{10} =5120$
Anita:
$f(x)=42* 2^{10} =43008$
Juan:
$f(x)=3* 3^{10}=177147$
Krista:
$f(x)=8* 3^{10} =472392$

"Based on your results, which student's post travels the fastest?"
Juan's and Krista's posts travel the fastest.

"How is this shown in the equation form of the functions?"
This is shown as a base of exponential part of equation.

"If you had to choose, would you prefer a post with fewer friends initially but more shares or more friends initially but fewer shares?"
To have biggest possible reach it is best to have as many shares as possible. Initial number of friends does not affect the reach as much as shares do.

"Can you think of reasons why more or fewer shares are preferable?"
Fewer shares are preferable when we want to keep shared information with our friends only. More shares are preferable when we want to reach big number of people ie. advertisement.

Mathematics

Harrison shared his video with 5 friends. his friends continued to share it, doubling the number of viewers each day. f(x) = 5(2)x anita shared her photo with 42 followers. each of them shared it with 2 friends, doubling the number of viewers each day day viewers 0 42 1 84 2 168 juan shared his post with 3 friends, who each shared it with 3 more friends. they continued sharing at the same rate krista shared her photo with 8 friends, who each shared it with 3 friends. this pattern continued. f(x) = 8(3)x 1.state which two students you are studying

Step-by-step answer

P Answered by PhD

40

2. Anita: f(x) = 42(2)^x
3. Juan: f(x) = 3^x
4.
Harrison : f(x) = 5(2)^x → f(3) = 5(2)³ = 5(8) = 40 ; f(10) = 5(2)^10 = 5(1,024) = 5,120
Anita : f(x) = 42(2)^x → f(3) = 42(2)³ = 42(8) = 336 ; f(10) = 42(2)^10 = 42(1,024) = 43,008
Juan : f(x) = 3^x → f(3) = 3^3 = 27 ; f(10) = 3^10 = 59,049
Krista : f(x) = 8(3)^x → f(3) = 8(3)^3 = 8(27) = 216 ; f(10) = 8(3)^10 = 8(59,049) = 472,392

5. Krista's post travels the fastest. It reached 472,392 in 10 days.
6. Fewer friends initially but more shares.

Mathematics

Student Harrison Anita Juan Krista Description Harrison shared his video with 7 friends. His friends continued to share it, doubling the number of viewers each day. Anita shared her photo with 41 followers. Each of them shared it with 2 friends, doubling the number of viewers each day. Juan shared his post with 4 friends, who each shared it with 4 more friends. They continued sharing at the same rate. Krista shared her photo with 6 friends, who each shared it with 3 friends. This pattern continued. Social Media Shares f(x) = 7(2)x Day 0 1 2 Viewers

Step-by-step answer

P Answered by PhD

1. I'm doing it by myself so I'm studying all

2. Anita: f(x)=42(2)^x

3. Juan: f(x)=3^x

4. Harrison: f(x)=5(2)^x

for x = 3, f(3)=5(2)^3=5(8)=40;

for x = 10, f(10)=5(2)^10= 5(1,024) = 5,120

Anita: f(x)=42(2)^x

for x = 3, f(3)=42(2)^3=42(8)=336

for x = 10, f(10)=42(2)^10=*(59,049) = 43,008

5. Krista's post travels the fastest. It reached 472,392 in 10 days.

6. Fewer friends initially but more shares.

Mathematics

Harrison shared his video with 5 friends. his friends continued to share it, doubling the number of viewers each day. f(x) = 5(2)x anita shared her photo with 42 followers. each of them shared it with 2 friends, doubling the number of viewers each day day viewers 0 42 1 84 2 168 juan shared his post with 3 friends, who each shared it with 3 more friends. they continued sharing at the same rate krista shared her photo with 8 friends, who each shared it with 3 friends. this pattern continued. f(x) = 8(3)x 1.state which two students you are studying

Step-by-step answer

P Answered by PhD

40

2. Anita: f(x) = 42(2)^x
3. Juan: f(x) = 3^x
4.
Harrison : f(x) = 5(2)^x → f(3) = 5(2)³ = 5(8) = 40 ; f(10) = 5(2)^10 = 5(1,024) = 5,120
Anita : f(x) = 42(2)^x → f(3) = 42(2)³ = 42(8) = 336 ; f(10) = 42(2)^10 = 42(1,024) = 43,008
Juan : f(x) = 3^x → f(3) = 3^3 = 27 ; f(10) = 3^10 = 59,049
Krista : f(x) = 8(3)^x → f(3) = 8(3)^3 = 8(27) = 216 ; f(10) = 8(3)^10 = 8(59,049) = 472,392

5. Krista's post travels the fastest. It reached 472,392 in 10 days.
6. Fewer friends initially but more shares.

Mathematics

Which functions are exponential growth functions? choose exactly two answers that are correct. 1. f(x)=0.75^ 2.g(x)=(3/2)^ 3.h(x)=1.08^ 4.j(x)=(1/3)^ answer correctly

Step-by-step answer

P Answered by Specialist

1

2.g(x)=(3/2)^x

3.h(x)=(1.08)^x

Step-by-step explanation:

We are required to find the exponential growth function.

As, we know,

Exponential growth function is of the form, F(x)=(1+r)^x , where r is the rate of growth.

If 'r' is positive, then the function is a growth function and if 'r' is negative, then the function is a decay function.

So, comparing the options, we have,

1. f(x)=(0.75)^x i.e. f(x)=(1-0.25)^x

So, the function is not a growth function.

2. g(x)=(3/2)^x = (1.5)^x i.e. g(x)=(1+0.5)^x

So, the function is an exponential growth function.

3. h(x)=(1.08)^x i.e. h(x)=(1+0.08)^x

So, the function is an exponential growth function.

4. j(x)=(1/3)^x=(0.33)^x i.e. j(x)=(1-0.67)^x

So, the function is not a growth function.

Hence, the growth functions are g(x)=(3/2)^x and h(x)=(1.08)^x .

So, options 2 and 3 are correct.

Mathematics

Which functions are exponential growth functions? choose exactly two answers that are correct. 1. f(x)=0.75^ 2.g(x)=(3/2)^ 3.h(x)=1.08^ 4.j(x)=(1/3)^ answer correctly

Step-by-step answer

P Answered by Specialist

1

2.g(x)=(3/2)^x

3.h(x)=(1.08)^x

Step-by-step explanation:

We are required to find the exponential growth function.

As, we know,

Exponential growth function is of the form, F(x)=(1+r)^x , where r is the rate of growth.

If 'r' is positive, then the function is a growth function and if 'r' is negative, then the function is a decay function.

So, comparing the options, we have,

1. f(x)=(0.75)^x i.e. f(x)=(1-0.25)^x

So, the function is not a growth function.

2. g(x)=(3/2)^x = (1.5)^x i.e. g(x)=(1+0.5)^x

So, the function is an exponential growth function.

3. h(x)=(1.08)^x i.e. h(x)=(1+0.08)^x

So, the function is an exponential growth function.

4. j(x)=(1/3)^x=(0.33)^x i.e. j(x)=(1-0.67)^x

So, the function is not a growth function.

Hence, the growth functions are g(x)=(3/2)^x and h(x)=(1.08)^x .

So, options 2 and 3 are correct.

Mathematics

@sitora @jyoung will give brainlest and 1. first question : the graph shows a predicted population as a function of time. choose the one statement below that is true about this graph. the initial population was more than 500. the graph shows the population decreasing without bound. the graph has an x-intercept and a y-intercept. the graph shows quadrant iii because only negative values make sense for this situation. based on the graph, it is predicted that it will take more than 3 years for the population to be greater than 500. 2. question let

Step-by-step answer

P Answered by PhD

43

Hi Gigi!

I know it's 5 days late, and I know I'm not one of the people you asked, but I do have a few answers that I hope can still help you and other people that still need these answers.

1. Based on the graph, it is predicted that it will take more than 3 years for the population to be greater than 500.

2. I'm not sure, sorry :(

3. g(x)=-2(1.5)^x

4. The population in 2016.

5. -93.75

6. When they bought their baseball cards, Maysa's card was worth $4 more than Ethan's card.

I hope this helps you, baii <3

Mathematics

The exponential function, f(x)=2^x, undergoes two transformations to g(x)=3x2^x+5. how does the graph change? select all that apply (choose two)

Step-by-step answer

P Answered by PhD

48

Options A and C.

Step-by-step explanation:

The parent exponential function has the form:

f(x)=b^x

This can be transformated as following:

When you multiply the function by a factor a ( a*f(x) ) and a>0 , then the function is vertically stretched.

When you add a number k to the parent function, the function is shifted up ( f(x)+k )

The parent function given in the problem is:

f(x)=2^x

To obtain the function g(x)=3*2^x+5 , the parent function is multiplied by a factor 3 (which is greater than 0) and the number 5 is added.

Therefore, the graph is shifted up and vertically stretched.

the graph shows two exponential functions. Choose the correct statement corcerning

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